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
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