Degenerate problems with irregular obstacles
WebNov 1, 2024 · The long time behavior of a class of degenerate parabolic equations in a bounded domain will be considered in the sense that the nonnegative diffusion coefficient a (x) is allowed to vanish in a set of positive measure in the interior of the domain. We prove decay rates for a class of semilinear reaction diffusion equations and a nonlinear … WebMay 31, 2024 · Quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth are studied. We obtain a global Calderón-Zygmund estimate for such an irregular obstacle problem by proving that the gradient of the solution is as integrable as both the nonhomogeneous term and the gradient of the associated double …
Degenerate problems with irregular obstacles
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WebExistence of localizable solutions to nonlinear parabolic problems with irregular obstacles. We introduce the concept of localizable solutions of parabolic obstacle … WebWe study a generalized variational inequality with an irregular obstacle in the frame of Orlicz–Sobolev spaces. Over a bounded nonsmooth domain having a sufficiently flat …
WebThis paper provides a comprehensive survey of the research on MOPs with irregular Pareto fronts. We start with a brief introduction to the basic concepts, followed by a summary of the benchmark test problems with irregular problems, an analysis of the causes of the irregularity, and real-world optimization problems with irregular Pareto … WebNov 24, 2024 · We prove local Calderón-Zygmund type estimates for the gradient of weak solutions to degenerate or singular parabolic equations of $ p $-Laplacian type with $ p > \frac{2n}{n+2} $ in weighted Lebesgue spaces $ L^q_w $. We introduce a new condition on the weight $ w $ which depends on the intrinsic geometry concerned …
Webfirst known results of obstacle problems driven by degenerate equations in non-divergence form, and they are new even for simpler (linear second order operators) … WebMar 15, 2016 · The aim of this paper is to derive the self-improving property of integrability for the spatial gradient of solutions to degenerate parabolic obstacle problem with …
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WebEmmanuele DiBenedetto, Degenerate parabolic equations, Universitext, Springer-Verlag, New York, 1993. MR 1230384; Emmanuele DiBenedetto and Avner Friedman, Regularity of solutions of nonlinear degenerate parabolic systems, J. Reine Angew. Math. 349 (1984), 83–128. MR 743967 sleeping on new yearsWebJan 24, 2024 · Abstract. We prove an existence result for parabolic minimizers of convex variational functionals with p -growth and irregular obstacles. In particular, the obstacle … sleeping on new years eveWebJan 31, 2024 · Degenerate problems with irregular obstacles. Article. Jan 2011; Verena Bögelein; Frank Duzaar; Giuseppe Mingione; We establish the natural Caldero ́n and Zygmund theory for solutions of ... sleeping on neck wrongWebOct 19, 2011 · With English, French and Russian summaries (1984) Pierre M.: Uniqueness of the solutions of u t −Δ φ ( u ) = 0 with initial datum a measure. Nonlinear Anal. 6 (2), 175–187 (1982) Article MathSciNet MATH Google Scholar. Prignet A.: Existence and uniqueness of “entropy” solutions of parabolic problems with L 1 data. sleeping on my side hurts my shoulderWebJan 1, 2011 · We establish the natural Calderóón and Zygmund theory for solutions of elliptic and parabolic obstacle problems involving possibly degenerate operators in … sleeping on new years memeWebMar 31, 2014 · [1] D. R. Adams and L. I. Hedberg, Function Spaces and Potential Theory, Grundlehren der Mathematischen Wissenschaften 314, Springer-Verlag, Berlin, 1996.doi: 10.1007 ... sleeping on norcoWebWe study a generalized variational inequality with an irregular obstacle in the frame of Orlicz–Sobolev spaces. Over a bounded nonsmooth domain having a sufficiently flat boundary in the Reifenberg sense, a global weighted Orlicz estimate is established for the gradient of the solution to the obstacle problem assumed BMO smallness of a coefficient. sleeping on my stomach hurts my back