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Degenerate problems with irregular obstacles

WebJan 1, 2011 · We establish the natural Caldero ́n and Zygmund theory for solutions of elliptic and parabolic obstacle problems involving possibly degenerate operators in diver- … WebOct 19, 2011 · Existence and regularity of solutions for nonlinear measure data problems with general growth. ... Duzaar F., Mingione G.: Degenerate problems with irregular obstacles. J. Reine Angew. Math. 650, 107–160 (2011 ... The Method of Intrinsic Scaling. A Systematic Approach to Regularity for Degenerate and Singular PDEs. Volume 1930 of …

Calderón-Zygmund estimates for quasilinear elliptic double …

WebOct 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. WebJan 1, 2011 · We establish the natural Calderón and Zygmund theory for solutions of elliptic and parabolic obstacle problems involving possibly degenerate operators in divergence form of p -Laplacian type, and proving that the (spatial) gradient of solutions is as … gold threading cpu https://theresalesolution.com

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 … WebApr 5, 2013 · Bögelein V., Duzaar F., Mingione G.: Degenerate problems with irregular obstacles. J. Reine Angew. Math. 650, 107–160 (2011) MathSciNet MATH Google Scholar A. DallʼAglio, Approximated solutions of equations with L 1 data. Application to the H-convergence of quasi-linear parabolic equations. Ann. Mat. WebWe also get global regularity in the settings of the Morrey and Hölder spaces for the weak solutions to the problem considered. References. Verena Bögelein, Frank Duzaar, and Giuseppe Mingione, Degenerate problems with irregular obstacles, J. Reine Angew. Math. 650 (2011), 107–160. MR 2770559, DOI 10.1515/CRELLE.2011.006 gold thread japan

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Degenerate problems with irregular obstacles

The obstacle problem for parabolic minimizers SpringerLink

WebDegenerate problems with irregular obstacles more. by Giuseppe Mingione. Publication Date: 2000 Publication Name: Journal für die reine und angewandte Mathematik (Crelles Journal) Research Interests: Pure Mathematics. 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 irregular obstacles and p (x, t)-nonstandard growth.More precisely, we prove that the spatial gradient of the solution is integrable to a larger power than the natural one …

Degenerate problems with irregular obstacles

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WebMar 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 ... WebAdvancing research. Creating connections.

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 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. WebJan 1, 2024 · 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 irregular obstacles and p(x,t ...

WebBogelein, F. Duzaar and G. Mingione, Degenerate problems with irregular obstacles, J. Reine Angew. Math. 650 (2011) 107–160. ... Reifenberg, Solutions of the Plateau problem for m-dimensional surfaces of varying topological type, Acta Math. 104 (1960) 1–92. 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

WebJan 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 ...

Webv. bögelein, f. duzaar, g. mingione: degenerate problems with irregular obstacles-- journal für die reine und angewandte mathematik (crelles journal) 650 (2011) 107-160 . f. duzaar, g. mingione: gradient estimates via nonlinear potentials-- american journal of mathematics 133 (2011) 1093-1149 gold thread juicesWebAug 1, 2014 · Abstract We establish the natural Calderón and Zygmund theory for solutions of elliptic and parabolic obstacle problems involving possibly degenerate operators in … heads-ed 0-6WebJan 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 might be unbounded, discontinuous and satisfy no regularity assumption with respect to the time variable. Moreover, we treat the case of obstacles which do not coincide along the ... goldthread japanese matchaWebDegenerative spine conditions involve the gradual loss of normal structure and function of the spine over time. They are usually caused by aging, but may also be the result of … goldthread juiceWebDegenerate definition, to fall below a normal or desirable level in physical, mental, or moral qualities; deteriorate: The morale of the soldiers degenerated, and they were unable to … head seizures symptomsWebMay 31, 2024 · Quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth are studied. We obtain a global Calderón-Zygmund estimate for such … gold threadless body jewelryWebMar 15, 2016 · In this paper we establish higher integrability properties of solutions to degenerate parabolic obstacle problems with p (x, t)-nonstandard growth, i.e. solutions … gold thread lift