Uniqueness for a Forward Backward Diffusion Equation

DOI10.2307/1999911zbMath0583.35058OpenAlexW4232194377MaRDI QIDQ3708442

Alan V. Lair

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999911

zbMATH Keywords

Cauchy problemparabolic equationnonlinear diffusion equationsmooth solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Heat equation (35K05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (3)

Young measure solutions for a class of forward-backward convection-diffusion equations ⋮ Interfacial phenomenon for one-dimensional equation of forward-backward parabolic type ⋮ Non-uniqueness results for entropy two-phase solutions of forward-backward parabolic problems with unstable phase

Cites Work

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• Classes of solutions of linear systems of partial differential equations of parabolic type
• Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
• A Nonlinear Integral Equation Occurring in a Singular Free Boundary Problem

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