Lemmas on compensated compactness in elliptic and parabolic equations

DOI10.1134/S0081543810030089zbMath1216.35045OpenAlexW1999697749WikidataQ124791911 ScholiaQ124791911MaRDI QIDQ630205

S. E. Pastukhova, Vasilii V. Jikov

Publication date: 17 March 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810030089

zbMATH Keywords

weak convergencecompensated compactnesselliptic and parabolic equations of monotone type

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Theoretical approximation in context of PDEs (35A35) Applications of operator theory to differential and integral equations (47N20)

Related Items (6)

Galerkin approximations for the Dirichlet problem with the $p(x)$-Laplacian ⋮ On existence and uniqueness classes for the Cauchy problem for the parabolic \(p\)-Laplace equation ⋮ On the existence of mild solutions of the initial-boundary-value problems for the Petrovskii-type semilinear parabolic systems with variable exponents of nonlinearity ⋮ Compensated compactness principle and solvability of generalized Navier-Stokes equations ⋮ Homogenization of monotone operators under conditions of coercitivity and growth of variable order ⋮ Elliptic operators with nonstandard growth condition: Some results and open problems

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