qua Prescribed Fires Are Not Created Equal: Fire Season and Severity Effects In Ponderosa Pine Forests of The Southern Blue Mountains By www.fs.fed.us Published On :: Tue, 06 Mar 2006 15:25:36 PST In the mid-1990s, forest managers on the Malheur National Forest were concerned about their prescribed fire program. Although they have only a few weeks of acceptable conditions available in the spring and fall, they were worried that spring-season prescribed burning might be exacerbating black stain root disease and having negative effects on understory plants. Full Article
qua Production, Prices, Employment, and Trade in Northwest Forest Industries, All Quarters 2004 By www.fs.fed.us Published On :: Fri, 22 Sep 2006 12:00:00 PST Provides current information on lumber and plywood production and prices; employment in the forest industries; international trade in logs, lumber, and plywood; volume and average prices of stumpage sold by public agencies; and other related items. Full Article
qua Monitoring Forests From Space: Quantifying Forest Change By Using Satellite Data By www.fs.fed.us Published On :: Mon, 04 Dec 2006 12:00:36 PST Change is the only constant in forest ecosystems. Quantifying regional-scale forest change is increasingly done with remote sensing, which relies on data sent from digital camera-like sensors mounted to Earth-orbiting satellites. Through remote sensing, changes in forests can be studied comprehensively and uniformly across time and space. Full Article
qua Stereo photo series for quantifying natural fuels Volume IX: oak/juniper in southern Arizona and New Mexico By www.fs.fed.us Published On :: Mon, 30 Aug 2010 10:00:00 PST A series of single and stereo photographs display a range of natural conditions and fuel loadings in evergreen and deciduous oak/juniper woodland and savannah ecosystems in southern Arizona and New Mexico. This group of photos includes inventory data summarizing vegetation composition, structure, and loading; woody material loading and density by size class; forest floor coverage and loading; and various site characteristics. The natural fuels photo series is designed to help land managers appraise fuel and vegetation conditions in natural settings. Full Article
qua Stereo photo series for quantifying natural fuels Volume X: sagebrush with grass and ponderosa pine-juniper types in central Montana. By www.fs.fed.us Published On :: Mon, 30 Aug 2010 10:00:00 PST Two series of single and stereo photographs display a range of natural conditions and fuel loadings in sagebrush with grass and ponderosa pinejuniper types in central Montana. Each group of photos includes inventory information summarizing vegetation composition, structure, and loading; woody material loading and density by size class; forest floor depth and loading; and various site characteristics. The natural fuels photo series is designed to help land managers appraise fuel and vegetation conditions in natural settings. Full Article
qua Production, prices, employment, and trade in Northwest forest industries, all quarters of 2005. By www.fs.fed.us Published On :: Mon, 29 Oct 2007 10:19:00 PST Provides current information on lumber and plywood production and prices; employment in the forest industries; international trade in logs, lumber, and plywood; volume and average prices of stumpage sold by public agencies; and other related items. Full Article
qua Taper equation and volume tables for plantation-grown red alder By www.fs.fed.us Published On :: Wed, 07 Nov 2007 08:00:00 PST A taper equation and associated tables are presented for red alder (Alnus rubra Bong.) trees grown in plantations. The data were gathered from variable-density experimental plantations throughout the Pacific Northwest. Diameter inside bark along the stem was fitted to a variable exponent model form by using generalized nonlinear least squares and a first-order continuous autoregressive process. A number of parameterizations of the exponent were examined in a preliminary analysis, and the most appropriate form was determined. This was achieved by examining alternative models across geographic locations and silvicultural treatments on the basis of their ability to behave well outside the range of the modeling data by using an independent evaluation data set from across the region and a model validation procedure. Incorporating three easily measured tree variables--diameter at breast height, total tree height, and crown ratio--provided the best fit among location and treatment. This taper equation can be used to estimate diameter inside bark anywhere along the stem, inside bark volume of the entire stem to any top height diameter, and merchantable height and volume between any two points along the stem (i.e., individual log volumes). The flexibility of the model allows for accurate volume predictions across a range of operational stand conditions and management activities and is therefore an improvement over previously published red alder volume and taper equations. Full Article
qua Production, prices, employment, and trade in Northwest forest industries, all quarters of 2006 By www.fs.fed.us Published On :: Tue, 24 Mar 2008 10:00:00 PST Provides current information on lumber and plywood production and prices; employment in the forest industries; international trade in logs, lumber, and plywood; volume and average prices of stumpage sold by public agencies; and other related items. Full Article
qua Lichen bioindication of biodiversity, air quality, and climate: baseline results from monitoring in Washington, Oregon, and California By www.fs.fed.us Published On :: Thu, 3 Apr 2008 06:31:00 PST Lichens are highly valued ecological indicators known for their sensitivity to a wide variety of environmental stressors like air quality and climate change. This report summarizes baseline results from the U.S. Department of Agriculture, Forest Service, Forest Inventory and Analysis (FIA) Lichen Community Indicator covering the first full cycle of data collection (1998-2001, 2003) for Washington, Oregon, and California. During this period, FIA conducted 972 surveys of epiphytic macrolichen communities for monitoring both spatial and long-term temporal trends in forest health. Major research findings are presented with emphasis on lichen biodiversity as well as bioindication of air quality and climate. Considerable effort is devoted to mapping geographic patterns and defining lichen indicator species suitable for estimating air quality and climate. Full Article
qua Production, prices, employment, and trade in Northwest forest industries, all quarters of 2007 By www.fs.fed.us Published On :: Tue, 08 Jul 2008 09:10:00 PST Provides current information on lumber and plywood production and prices; employment in the forest industries; international trade in logs, lumber, and plywood; volume and average prices of stumpage sold by public agencies; and other related items. Full Article
qua Production, prices, employment, and trade in Northwest forest industries, all quarters 2009 By www.fs.fed.us Published On :: Tue 28 Sep 2010 09:23:00 PDT Provides current information on lumber and plywood production and prices; employment in the forest industries; international trade in logs, lumber, and plywood; volume and average prices of stumpage sold by public agencies; and other related items. Full Article
qua Quantifying competitive ability of perennial grasses to inhibit Scotch broom. By www.fs.fed.us Published On :: Fri, 10 Jun 2011 14:35:00 PST Greenhouse pot studies were conducted to quantify the competitive abilities of three native perennial grass species to inhibit development of Scotch broom (Cytisus scoparius (L.) Link ) seedlings: spike bentgrass (Agrostis exarata Trin. ), blue wildrye (Elymus glaucus Buckley), and western fescue (Festuca occidentalis Hook. ). In single-species stands (1) soil water content decreased with increasing grass density, (2) soil water depletion per plant differed among species as ratios of 2.4:1.3:1 for bentgrass, fescue, and wildrye, respectively, and (3) average percentage of ground cover per plant was ranked by species as bentgrass (14 percent), wildrye (8 percent), broom (8 percent), and fescue (5 percent). Regression models predicted 90, 85, and 72 percent reductions in average biomass per plant of broom when grown with approximately 250 plants/m2 of bentgrass, wildrye, and fescue, respectively. Bentgrass and wildrye were more competitive than fescue because of their early-season depletion of soil water and rapid development of cover. Full Article
qua Production, prices, employment, and trade in Northwest forest industries, all quarters 2010 By www.fs.fed.us Published On :: Mon 15 Aug 2011 10:16:00 PDT Provides current information on lumber and plywood production and prices; employment in the forest industries; international trade in logs, lumber, and plywood; volume and average prices of stumpage sold by public agencies; and other related items. Full Article
qua A landscape model for predicting potential natural vegetation of the Olympic Peninsula USA using boundary equations and newly developed environmental variables By www.fs.fed.us Published On :: Thu 18 Aug 2011 10:30:00 PDT A gradient-analysis-based model and grid-based map are presented that use the potential vegetation zone as the object of the model. Several new variables are presented that describe the environmental gradients of the landscape at different scales. Boundary algorithms are conceptualized, and then defined, that describe the environmental boundaries between vegetation zones on the Olympic Peninsula, Washington, USA. Full Article
qua Production, prices, employment, and trade in Northwest forest industries, all quarters 2011 By www.fs.fed.us Published On :: Fri 28 Dec 2012 10:06:00 PDT Provides current information on lumber and plywood production and prices; employment in the forest industries; international trade in logs, lumber, and plywood; volume and average prices of stumpage sold by public agencies; and other related items. Full Article
qua Photo series for quantifying natural fuels By www.fs.fed.us Published On :: Mon, 25 Mar 2013 08:30:36 PST Three series of photographs display a range of natural conditions and fuel loadings for sagebrush-steppe types that are ecotonal with grasses, western juniper, and ponderosa pine in eastern Oregon, and one series of photographs displays a range of natural conditions and fuel loadings for northern spotted owl nesting habitat in forest types in Washington and Oregon. Each group of photos includes inventory information summarizing vegetation composition, structure, and loading; woody material loading and density by size class; forest floor depth and loading; and various site characteristics. The natural fuels photo series is designed to help land managers appraise fuel and vegetation conditions in natural settings. Full Article
qua Recent Publications of the Pacific Northwest Research Station, 2nd Quarter, 2013 By www.fs.fed.us Published On :: Thu, 01 Aug 2013 13:02:00 PST This list of recent publications and other products of the Pacific Northwest PNW Research Station is published four times a year. The first section shows items published by the PNW Research Station. The second section shows publications available elsewhere. In each section, items are grouped alphabetically by authors within categories. The list is available online and in pdf format. Full Article
qua West Coast log exports down, lumber exports up in first quarter of 2016 By www.fs.fed.us Published On :: 2016-05-26 The latest data summarizing West Coast log and lumber exports in the first quarter of 2016 were released today by the U.S. Forest Service's Pacific Northwest Research Station. The data-covering exports during January, February, and March 2016—were compiled and analyzed by Xiaoping Zhou, a research economist with the station. Full Article
qua An initial evaluation of potential options for managing riparian reserves of the Aquatic Conservation Strategy of the Northwest Forest Plan By www.fs.fed.us Published On :: Thur, 21 Apr 2016 9:55:00 PST The Aquatic Conservation Strategy (ACS) of the Northwest Forest Plan guides management of riparian and aquatic ecosystems on federal lands in western Oregon, western Washington, and northern California. Full Article
qua Scripps Board Declares Second Quarter Dividend By www.allaccess.com Published On :: Thu, 07 May 2020 06:02:39 -0700 The Board of Directors of THE E.W. SCRIPPS COMPANY, parent of STITCHER and TRITON DIGITAL, has declared a cash dividend of 5 cents/share for second quarter 2020. The dividend will be payable … more Full Article
qua Bell Media Parent BCE Inc. Revenues, Earnings Down For First Quarter By www.allaccess.com Published On :: Thu, 07 May 2020 06:01:02 -0700 BCE INC., parent of CANADA's BELL MEDIA, saw its overall consolidated operating revenues slip 0.9% year-to-year to C$5.68 billion in first quarter 2020, attributed to the COVID-19 … more Full Article
qua TEGNA First Quarter Revenues, Income Rise By www.allaccess.com Published On :: Thu, 07 May 2020 06:04:00 -0700 TEGNA INC. first quarter total company revenue rose 32% year-to-year to $684 million, boosted by station acquisitions, subscription revenue, and politcal advertising; without political, … more Full Article
qua Entravision Sees Revenues, Income Dip For First Quarter 2020 By www.allaccess.com Published On :: Thu, 07 May 2020 13:44:24 -0700 ENTRAVISION COMMUNICATIONS CORP. first quarter 2020 revenues dipped 1% to $64.249 million, blamed on the effects of the pandemic, an 8% decline for the company's digital operations, and a … more Full Article
qua Scripps First Quarter Revenues Rise But Pandemic's Effects Begin To Have An Impact By www.allaccess.com Published On :: Fri, 08 May 2020 05:19:27 -0700 The E.W. SCRIPPS COMPANY's first quarter revenues jumped 48% year-to-year to $431 million, boosted by the addition of 8 TV stations spun off from the NEXSTAR acquisition of TRIBUNE MEDIA … more Full Article
qua Univision First Quarter Radio Revenues Flat By www.allaccess.com Published On :: Fri, 08 May 2020 05:20:33 -0700 UNIVISION COMMUNICATIONS INC. first quarter 2020 overall revenue from continuing operations rose 8% year-to-year to $660.4 million, with income falling from $36.9 million to $11.7 million, … more Full Article
qua Quarantine for travellers would have "serious effect" on economy, warns airport By www.belfastlive.co.uk Published On :: Sat, 9 May 2020 14:06:14 +0000 It has reported that Prime Minister Boris Johnson will make the announcement in an address to the nation on Sunday. Full Article News
qua KQCJ/Davenport, IA Launches Planet 93.9 - The Quad Cities Real Alternative By www.allaccess.com Published On :: Wed, 06 May 2020 01:20:01 -0700 REGIONAL MEDIA Adult Hits KQCJ (93.9 JACK-FM)/DAVENPORT,IA has flipped to Alternative as "PLANET 93.9 - THE QUAD CITIES REAL ALTERNATIVE" under PD DAVE LEVORA, who was most recently … more Full Article
qua Saga First Quarter Revenues Down, Income Up, But May, June Ad Revenue Hit Hard By Pandemic By www.allaccess.com Published On :: Wed, 06 May 2020 06:27:54 -0700 SAGA COMMUNICATIONS first quarter net revenue fell year-to-year from $27.8 million to $26.1 million but net income rose from $1.4 million to $1.7 million for the quarter. Gross political … more Full Article
qua Pandemic Hits Live Nation Revenue, Income In First Quarter 2020 By www.allaccess.com Published On :: Thu, 07 May 2020 13:39:05 -0700 The concert promotion and ticketing business came to a screeching halt for LIVE NATION ENTERTAINMENT in mid-MARCH with the COVID-19 pandemic stopping all live concert action, and first … more Full Article
qua iHeartMedia Revenue, Income Fall In First Quarter As Pandemic Hits By www.allaccess.com Published On :: Thu, 07 May 2020 15:19:21 -0700 iHEARTMEDIA's revenue performance sharply declined once the pandemic hit in MARCH, the company said in reporting its first quarter 2020 financial results. Revenue fell 1.9% year-over-year … more Full Article
qua Why personas are antiquated (and what you should use instead) By feedproxy.google.com Published On :: Tue, 17 Dec 2019 15:00:00 +0000 Personas are antiquated… this coming from someone who has relied on and written about them for years. For years at 3.7 Designs, we’ve created personas during the design discovery phase. I recently realized that the traditional marketing persona is no longer a relevant practice. The keyword here is “traditional.” At 3.7 we’ve adopted a practice […] The post Why personas are antiquated (and what you should use instead) appeared first on Psychology of Web Design | 3.7 Blog. Full Article Psychology of Design Strategy and Planning User Experience Web Design
qua Times Square with No One Around By feedproxy.google.com Published On :: Mon, 20 Apr 2020 04:04:20 +0000 Back before our sense of normalcy was completely reset, 330,000 people used to pass through Times Square in New York… Full Article
qua Florida Man Arrested Trying To Quarantine On Abandoned Disney Treasure Island, And That’s What This Island Looks Like From The Inside By feedproxy.google.com Published On :: Mon, 04 May 2020 13:27:35 +0000 The 42-year-old said he didn’t hear numerous deputies searching the private island for him on foot, by boat and by... Full Article Travel abandoned disney florida island quarantine
qua UNI football position preview: Will McElvain entrenched as No. 1 quarterback By feedproxy.google.com Published On :: Sun, 03 May 2020 14:41:57 PDT CEDAR FALLS — A four-way quarterback competition dominated the preseason headlines for Northern Iowa last August. Walk-on redshirt freshman Will McElvain emerged as the competition’s... Full Article UNI Panthers
qua 9 Things You Can Do To Your WordPress Website During Quarantine By feedproxy.google.com Published On :: Tue, 07 Apr 2020 18:15:25 +0000 If you’d have told us at WPZOOM about the current situation we find ourselves in six months ago, we wouldn’t have believed you. It’s all we can see if we turn on the TV and it’s clear right now, humanity has taken a break. Worrying about loved ones, ensuring we stay safe, and for heaven’s sake, stay inside. Staying inside […] Full Article News
qua 75+ High Quality Free Fonts: Handwriting, Script & Brush Fonts By webdesignerwall.com Published On :: Mon, 12 Dec 2016 13:00:05 +0000 Fonts took on a revival in handmade styles this year, from calligraphic, script and handwritten to brush painted and block-printed. Combined with the great visual appeal of hero images and typographic layouts in web design, handwriting fonts are a trend that you can expect to see more of. In this article you’ll find a fresh […] The post 75+ High Quality Free Fonts: Handwriting, Script & Brush Fonts appeared first on Web Designer Wall. Full Article Design Trends Featured Fonts Freebies
qua Squared Circle Pit #54 - AVATAR Frontman Johannes Eckerström Talks Wrestling Unlocking His Love of Metal Frontmen By feedproxy.google.com Published On :: Sat, 28 Sep 2019 00:15:16 +0000 We're back and this week, we're talking to Avatar's colorful frontman Johannes Eckerström. If you've ever seen the band live,... The post Squared Circle Pit #54 - AVATAR Frontman Johannes Eckerström Talks Wrestling Unlocking His Love of Metal Frontmen appeared first on Metal Injection. Full Article SquaredCirclePit
qua Squared Circle Pit #55 - Comic Artist Box Brown Talks AEW vs. NXT By feedproxy.google.com Published On :: Fri, 04 Oct 2019 21:59:08 +0000 Comic artist Box Brown is the guest on the show this week. We kick things off talking about his comic... The post Squared Circle Pit #55 - Comic Artist Box Brown Talks AEW vs. NXT appeared first on Metal Injection. Full Article SquaredCirclePit aew all elite wrestling box brown wrestlemetal wwe wwe nxt
qua Squared Circle Pit #56 - Hot Topic's Joe Enriquez talks AEW, ECW and Thrash Metal By feedproxy.google.com Published On :: Fri, 15 Nov 2019 21:48:05 +0000 We're back and super excited to welcome the Hot Topic senior buyer Joe Enriquez to the show. Joe tells the... The post Squared Circle Pit #56 - Hot Topic's Joe Enriquez talks AEW, ECW and Thrash Metal appeared first on Metal Injection. Full Article SquaredCirclePit aew ecw hot topic wrestlemetal wwe
qua Squared Circle Pit #57 - Jimmy Havoc Talks Death Match Wrestling By feedproxy.google.com Published On :: Mon, 10 Feb 2020 23:18:12 +0000 We're so excited to finally have British death match legend Jimmy Havoc on the show. We talked about how he... The post Squared Circle Pit #57 - Jimmy Havoc Talks Death Match Wrestling appeared first on Metal Injection. Full Article SquaredCirclePit aew all elite wrestling jimmy havoc squared circle pit wrestlemetal
qua Can Houseplants Improve Indoor Air Quality? By feedproxy.google.com Published On :: Thu, 08 Dec 2016 12:53:36 +0000 By University of Illinois Extension In an era of increasing energy prices, many Americans insulate and seal up their homes during the winter months. Although this can result in savings on the monthly power bill, sealing the home can concentrate … Continue reading → Full Article Air Quality Health houseplants indoor air pollution indoor air quality VOCs
qua Why personas are antiquated (and what you should use instead) By feedproxy.google.com Published On :: Tue, 17 Dec 2019 15:00:00 +0000 Personas are antiquated… this coming from someone who has relied on and written about them for years. For years at 3.7 Designs, we’ve created personas during the design discovery phase. I recently realized that the traditional marketing persona is no longer a relevant practice. The keyword here is “traditional.” At 3.7 we’ve adopted a practice […] The post Why personas are antiquated (and what you should use instead) appeared first on Psychology of Web Design | 3.7 Blog. Full Article Psychology of Design Strategy and Planning User Experience Web Design
qua #COVIDwear: a hilarious photo series showing quarantine fashion of remote workers By feedproxy.google.com Published On :: Fri, 08 May 2020 12:04:34 +0000 With the coronavirus pandemic, many folks switched to working online. Things like teaching, business meetings and other face-to-face activities have been replaced with video calls. Home has become both home and workplace, and admit it: your wardrobe totally reflects this. Creative duo The Workmans shows this “fashion crossover” in their latest photo series #COVIDwear. The […] The post #COVIDwear: a hilarious photo series showing quarantine fashion of remote workers appeared first on DIY Photography. Full Article Inspiration Alex Workman Chelsea Workman Coronavirus COVID-19 funny portraits quarantine self-isolation The Workmans
qua Quand la moitié du centre-ville disparaît dans la brume By feedproxy.google.com Published On :: Wed, 04 Mar 2020 04:05:48 +0000 Rimouski, Bas-St-Laurent, Québec Full Article Hiver Paysage Rimouski brume hiver rimouski
qua Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. (arXiv:2005.02311v2 [math.AP] UPDATED) By arxiv.org Published On :: One proves the existence and uniqueness of a generalized (mild) solution for the nonlinear Fokker--Planck equation (FPE) egin{align*} &u_t-Delta (eta(u))+{mathrm{ div}}(D(x)b(u)u)=0, quad tgeq0, xinmathbb{R}^d, d e2, \ &u(0,cdot)=u_0,mbox{in }mathbb{R}^d, end{align*} where $u_0in L^1(mathbb{R}^d)$, $etain C^2(mathbb{R})$ is a nondecreasing function, $bin C^1$, bounded, $bgeq 0$, $Din(L^2cap L^infty)(mathbb{R}^d;mathbb{R}^d)$ with ${ m div}, Din L^infty(mathbb{R}^d)$, and ${ m div},Dgeq0$, $eta$ strictly increasing, if $b$ is not constant. Moreover, $t o u(t,u_0)$ is a semigroup of contractions in $L^1(mathbb{R}^d)$, which leaves invariant the set of probability density functions in $mathbb{R}^d$. If ${ m div},Dgeq0$, $eta'(r)geq a|r|^{alpha-1}$, and $|eta(r)|leq C r^alpha$, $alphageq1,$ $alpha>frac{d-2}d$, $dgeq3$, then $|u(t)|_{L^infty}le Ct^{-frac d{d+(alpha-1)d}} |u_0|^{frac2{2+(m-1)d}},$ $t>0$, and the existence extends to initial data $u_0$ in the space $mathcal{M}_b$ of bounded measures in $mathbb{R}^d$. The solution map $mumapsto S(t)mu$, $tgeq0$, is a Lipschitz contractions on $mathcal{M}_b$ and weakly continuous in $tin[0,infty)$. As a consequence for arbitrary initial laws, we obtain weak solutions to a class of McKean-Vlasov SDEs with coefficients which have singular dependence on the time marginal laws. Full Article
qua Approximate Two-Sphere One-Cylinder Inequality in Parabolic Periodic Homogenization. (arXiv:2005.00989v2 [math.AP] UPDATED) By arxiv.org Published On :: In this paper, for a family of second-order parabolic equation with rapidly oscillating and time-dependent periodic coefficients, we are interested in an approximate two-sphere one-cylinder inequality for these solutions in parabolic periodic homogenization, which implies an approximate quantitative propagation of smallness. The proof relies on the asymptotic behavior of fundamental solutions and the Lagrange interpolation technique. Full Article
qua On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations. (arXiv:2004.12660v3 [math.AP] UPDATED) By arxiv.org Published On :: In this paper, we mainly establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for a class of fully nonlinear second-order elliptic equations related to the eigenvalues of the Hessian, with prescribed generalized symmetric asymptotic behavior at infinity. Moreover, we give some new results for the Hessian equations, Hessian quotient equations and the special Lagrangian equations, which have been studied previously. Full Article
qua Equivalence of classical and quantum completeness for real principal type operators on the circle. (arXiv:2004.07547v3 [math.AP] UPDATED) By arxiv.org Published On :: In this article, we prove that the completeness of the Hamilton flow and essential self-dajointness are equivalent for real principal type operators on the circle. Moreover, we study spectral properties of these operators. Full Article
qua Hessian quotient equations on exterior domains. (arXiv:2004.06908v2 [math.AP] UPDATED) By arxiv.org Published On :: It is well-known that a celebrated J"{o}rgens-Calabi-Pogorelov theorem for Monge-Amp`ere equations states that any classical (viscosity) convex solution of $det(D^2u)=1$ in $mathbb{R}^n$ must be a quadratic polynomial. Therefore, it is an interesting topic to study the existence and uniqueness theorem of such fully nonlinear partial differential equations' Dirichlet problems on exterior domains with suitable asymptotic conditions at infinity. As a continuation of the works of Caffarelli-Li for Monge-Amp`ere equation and of Bao-Li-Li for $k$-Hessian equations, this paper is devoted to the solvability of the exterior Dirichlet problem of Hessian quotient equations $sigma_k(lambda(D^2u))/sigma_l(lambda(D^2u))=1$ for any $1leq l<kleq n$ in all dimensions $ngeq 2$. By introducing the concept of generalized symmetric subsolutions and then using the Perron's method, we establish the existence theorem for viscosity solutions, with prescribed asymptotic behavior which is close to some quadratic polynomial at infinity. Full Article
qua Set theoretic Yang-Baxter & reflection equations and quantum group symmetries. (arXiv:2003.08317v3 [math-ph] UPDATED) By arxiv.org Published On :: Connections between set theoretic Yang-Baxter and reflection equations and quantum integrable systems are investigated. We show that set theoretic $R$-matrices are expressed as twists of known solutions. We then focus on reflection and twisted algebras and we derive the associated defining algebra relations for $R$-matrices being Baxterized solutions of the $A$-type Hecke algebra ${cal H}_N(q=1)$. We show in the case of the reflection algebra that there exists a "boundary" finite sub-algebra for some special choice of "boundary" elements of the $B$-type Hecke algebra ${cal B}_N(q=1, Q)$. We also show the key proposition that the associated double row transfer matrix is essentially expressed in terms of the elements of the $B$-type Hecke algebra. This is one of the fundamental results of this investigation together with the proof of the duality between the boundary finite subalgebra and the $B$-type Hecke algebra. These are universal statements that largely generalize previous relevant findings, and also allow the investigation of the symmetries of the double row transfer matrix. Full Article