On one-dimensional forward-backward diffusion equations with linear convection and reaction

DOI10.1016/j.jde.2018.08.004zbMath1406.35165OpenAlexW2887724453WikidataQ59163403 ScholiaQ59163403MaRDI QIDQ1627717

Seonghak Kim, Baisheng Yan

Publication date: 3 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.08.004

zbMATH Keywords

convex integrationforward-backward diffusionBaire's categorylinear convection and reactionnonlocal differential inclusiontransition gauge

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Optimality conditions for problems involving relations other than differential equations (49K21) Initial-boundary value problems for PDEs of mixed type (35M13)

Related Items (2)

Two-phase solutions for one-dimensional non-convex elastodynamics ⋮ Continuum and lattice models analysis of the aggregation diffusion cell movement

Cites Work

• Unnamed Item
• Two-phase entropy solutions of a forward-backward parabolic equation
• Implicit partial differential equations
• On Lipschitz solutions for some forward-backward parabolic equations
• On Lipschitz solutions for some forward-backward parabolic equations. II: The case against Fourier
• On existence of weak solutions for one-dimensional forward-backward diffusion equations
• Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
• Convex integration for a class of active scalar equations
• 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
• Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
• Convex Integration and Infinitely Many Weak Solutions to the Perona--Malik Equation in All Dimensions
• Direct methods in the calculus of variations
• Optimal existence theorems for nonhomogeneous differential inclusions

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