The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation

DOI10.1186/s13661-015-0377-6zbMath1381.35098OpenAlexW1559907623WikidataQ59434861 ScholiaQ59434861MaRDI QIDQ284123

Hua-Shui Zhan

Publication date: 17 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13661-015-0377-6

zbMATH Keywords

electrorheological fluidboundary degeneracyboundary value conditionevolutionary \(p(x)\)-Laplacian equationFichera-Oleinik theory

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)

Related Items (16)

Diffusion convection equation with variable nonlinearities ⋮ On a parabolic equation related to the \(p\)-Laplacian ⋮ On the well-posedness problem of the electrorheological fluid equations ⋮ On a doubly degenerate parabolic equation with a nonlinear damping term ⋮ The BV solution of the parabolic equation with degeneracy on the boundary ⋮ The stability of the solutions of an equation related to the \(p\)-Laplacian with degeneracy on the boundary ⋮ A new kind of the solutions of a convection-diffusion equation related to the \(p(x)\)-Laplacian ⋮ The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition ⋮ The weak solutions of an evolutionary \(p(x)\)-Laplacian equation are controlled by the initial value ⋮ The evolutionary \(p(x)\)-Laplacian equation with a partial boundary value condition ⋮ The boundary degeneracy of a nonlinear equation related to electrorheological fluid ⋮ The stability of evolutionary \(p(x)\)-Laplacian equation ⋮ Evolutionary \(p(x)\)-Laplacian equation with a convection term ⋮ Solutions of a class of degenerate kinetic equations using steepest descent in Wasserstein space ⋮ Unnamed Item ⋮ Uniqueness and stability of solutions without the boundary condition

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