The uniqueness of a nonlinear diffusion equation related to the \(p\)-Laplacian

DOI10.1186/s13660-017-1596-4OpenAlexW2782108317WikidataQ47556770 ScholiaQ47556770MaRDI QIDQ1688530

Hua-Shui Zhan

Publication date: 8 January 2018

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1596-4

zbMATH Keywords

uniqueness\(p\)-Laplaciandiffusion coefficientboundary value condition

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Free boundary problems for PDEs (35R35) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (7)

On the evolutionary \(p\)-Laplacian equation with a partial boundary value condition ⋮ Global existence, extinction, and non-extinction of solutions to a fast diffusion \(p\)-Laplace evolution equation with singular potential ⋮ On anisotropic parabolic equations with a nonlinear convection term depending on the spatial variable ⋮ Hölder inequality applied on a non-Newtonian fluid equation with a nonlinear convection term and a source term ⋮ On the stability of a non-Newtonian polytropic filtration equation ⋮ Uniqueness and stability of solutions without the boundary condition ⋮ The weak solutions of a doubly nonlinear parabolic equation related to the \(p(x)\)-Laplacian

Cites Work

• On a parabolic equation related to the \(p\)-Laplacian
• Parabolic equations with double variable nonlinearities
• Degenerate parabolic equations
• Large time behavior of solutions to a class of doubly nonlinear parabolic equations.
• Large-time geometric properties of solutions of the evolution \(p\)-Laplacian equation
• Nonuniqueness and multi-bump solutions in parabolic problems with the \(p\)-Laplacian
• Compact sets in the space \(L^ p(0,T;B)\)
• Partial differential equations V. Asymptotic methods for partial differential equations. Transl. from the Russian by J. S. Joel and S. A. Wolf
• Properties of the boundary flux of a singular diffusion process
• The solutions of a hyperbolic-parabolic mixed type equation on half-space domain
• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
• A new kind of weak solution of non-Newtonian fluid equation
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