Sobolev regularization of a class of forward-backward parabolic equations

DOI10.1016/j.jde.2014.05.004zbMath1295.35277OpenAlexW2081021377MaRDI QIDQ2453941

Flavia Smarrazzo, Bui Le Trong Thanh, Tesei, Alberto

Publication date: 12 June 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.05.004

zbMATH Keywords

entropy inequalitiesbounded Radon measurespseudo-parabolic regularizationYoung measure solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Quasilinear parabolic equations (35K59)

Related Items (8)

Stability results for backward heat equations with time-dependent coefficient in the Banach space \(L_p (\mathbb{R})\) ⋮ Smooth and non-smooth regularizations of the nonlinear diffusion equation ⋮ On the well-posedness of a spectral fractional forward-backward pseudo-parabolic equation ⋮ On a coupled hybrid system of nonlinear differential equations with a nonlocal concentration ⋮ On some classes of nonlocal boundary-value problems for singular parabolic equations ⋮ Non-smooth regularization of a forward-backward parabolic equation ⋮ The second order of ADS for reverse parabolic boundary value problem with integral condition ⋮ Numerical approximation of young-measure solutions to parabolic systems of forward-backward type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-phase entropy solutions of forward-backward parabolic problems with unstable phase
• Two-phase entropy solutions of a forward-backward parabolic equation
• Dynamics of measured valued solutions to a backward-forward heat equation
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Hysteresis and phase transitions
• Degenerate regularization of forward-backward parabolic equations: the vanishing viscosity limit
• Sobolev approximation for two-phase solutions of forward-backward parabolic problems
• The Riemann problem for a forward-backward parabolic equation
• Degenerate regularization of forward-backward parabolic equations: the regularized problem
• Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity
• Existence of infinitely many solutions for the one-dimensional Perona-Malik model
• Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
• Stable Patterns in a Viscous Diffusion Equation
• Weak Convergence of Integrands and the Young Measure Representation
• 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
• IRREVERSIBILITY AND HYSTERESIS FOR A FORWARD–BACKWARD DIFFUSION EQUATION
• Young Measure Solutions for a Nonlinear Parabolic Equation of Forward-Backward Type
• Convergence of the One-Dimensional Cahn--Hilliard Equation
• Forward-backward parabolic equations and hysteresis

This page was built for publication: Sobolev regularization of a class of forward-backward parabolic equations