Existence theorems and qualitative properties of solutions to parabolic equations with a variable order of nonlinearity

DOI10.1134/S1064562410010114zbMath1203.35146MaRDI QIDQ606493

Vasilii V. Jikov, Yury A. Alkhutov

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

monotonicitycoercivity

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear parabolic equations (35K59)

Related Items (4)

Existence, uniqueness and blowup for hyperbolic equations with nonstandard growth conditions ⋮ Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth ⋮ Lemmas on compensated compactness in elliptic and parabolic equations ⋮ On \(p_s(x)\)-Laplacian parabolic problems with non-globally Lipschitz forcing term

Cites Work

• Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
• Regularity results for a class of functionals with non-standard growth

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