On a class of forward-backward parabolic equations: existence of solutions

DOI10.1016/j.na.2017.09.011zbMath1401.35160OpenAlexW2767488033MaRDI QIDQ1626676

Flavia Smarrazzo, Michiel Bertsch, Tesei, Alberto

Publication date: 21 November 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.09.011

zbMATH Keywords

forward-backward parabolic equationspseudo-parabolic regularizationfinite Radon measures

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Ill-posed problems for PDEs (35R25) Spaces of measures, convergence of measures (28A33) Integration and disintegration of measures (28A50)

Related Items (4)

On a class of forward-backward parabolic equations: formation of singularities ⋮ An RBF-PUM finite difference scheme for forward-backward heat equation ⋮ Measure-Valued Solutions to a Nonlinear Fourth-Order Regularization of Forward-Backward Parabolic Equations ⋮ The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions

Cites Work

• 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
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• Radon measure-valued solutions for a class of quasilinear parabolic equations
• Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity
• A mathematical model of turbulent heat and mass transfer in stably stratified shear flow
• Pettis integral and measure theory
• 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
• On a Class of Forward-Backward Parabolic Equations: Properties of Solutions
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