On a Class of Forward-Backward Parabolic Equations: Properties of Solutions

DOI10.1137/16M1067378zbMath1372.35323OpenAlexW2625940548MaRDI QIDQ5270342

Flavia Smarrazzo, Tesei, Alberto, Michiel Bertsch

Publication date: 23 June 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1067378

zbMATH Keywords

bounded Radon measuresforward-backward parabolic equationspseudoarabolic regularization

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Ill-posed problems for PDEs (35R25) Spaces of measures, convergence of measures (28A33) Integration and disintegration of measures (28A50) PDEs with measure (35R06)

Related Items (4)

On a class of forward-backward parabolic equations: existence of solutions ⋮ On a class of forward-backward parabolic equations: formation of singularities ⋮ Measure-Valued Solutions to a Nonlinear Fourth-Order Regularization of Forward-Backward Parabolic Equations ⋮ On some classes of nonlocal boundary-value problems for singular parabolic equations

Cites Work

• Unnamed Item
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• Pseudo-parabolic regularization of forward-backward parabolic equations: power-type nonlinearities
• Nonuniqueness of solutions for a class of forward-backward parabolic equations
• On a pseudoparabolic regularization of a forward-backward-forward equation
• On a class of equations with variable parabolicity direction
• Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity
• A mathematical model of turbulent heat and mass transfer in stably stratified shear flow
• Stable Patterns in a Viscous Diffusion Equation
• A Degenerate Pseudoparabolic Regularization of a Nonlinear Forward-Backward Heat Equation Arising in the Theory of Heat and Mass Exchange in Stably Stratified Turbulent Shear Flow
• Sobolev regularization of a nonlinear ill-posed parabolic problem as a model for aggregating populations

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