Nonuniqueness of solutions for a class of forward-backward parabolic equations

DOI10.1016/j.na.2015.12.028zbMath1339.35008OpenAlexW2257639386MaRDI QIDQ272706

Flavia Smarrazzo, Michiel Bertsch, Tesei, Alberto

Publication date: 20 April 2016

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.2015.12.028

zbMATH Keywords

one space dimensionRadon measure-valued solutions

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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Describing limits of integrable functions as grid functions of nonstandard analysis ⋮ On a class of forward-backward parabolic equations: existence of solutions ⋮ On a pseudoparabolic regularization of a forward-backward-forward equation ⋮ 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 ⋮ Poro-Visco-Elastic Compaction in Sedimentary Basins ⋮ Hysteresis and phase transitions in a lattice regularization of an ill-posed forward-backward diffusion equation ⋮ On a Class of Forward-Backward Parabolic Equations: Properties of Solutions

Cites Work

• On a pseudoparabolic regularization of a forward-backward-forward equation
• Parametrized measures and variational principles
• Degenerate regularization of forward-backward parabolic equations: the regularized problem
• A note on the strong maximum principle
• Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity
• A mathematical model of turbulent heat and mass transfer in stably stratified shear flow
• 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

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