The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition

DOI10.1186/S13661-017-0899-1zbMath1386.35194OpenAlexW2767398280WikidataQ59527398 ScholiaQ59527398MaRDI QIDQ1678080

Hua-Shui Zhan

Publication date: 14 November 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0899-1

zbMATH Keywords

anisotropic parabolic equationpartial boundary value conditionthe well-posedness

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (6)

On stability with respect to boundary conditions for anisotropic parabolic equations with variable exponents ⋮ On quasilinear anisotropic parabolic equations with time-dependent exponents ⋮ On the boundary value conditions of evolutionary \(p_i\)-Laplacian equation ⋮ The weak solutions of a nonlinear parabolic equation from two-phase problem ⋮ Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term ⋮ On a weak solution matching up with the double degenerate parabolic equation

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