Global existence of solutions to a singular parabolic/Hamilton-Jacobi coupled system with Dirichlet conditions

DOI10.1016/J.CRMA.2008.07.031zbMath1166.35313OpenAlexW2157268753MaRDI QIDQ950123

Hassan Ibrahim, Régis Monneau, Mustapha Jazar

Publication date: 22 October 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.07.031

zbMATH Keywords

viscosity solutionsparabolic regularizationentropy estimatemixed solutionsdynamics of dislocation densities

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Degenerate parabolic equations (35K65)

Related Items (2)

On a parabolic logarithmic Sobolev inequality ⋮ A generalization of a logarithmic Sobolev inequality to the Hölder class

Cites Work

• Unnamed Item
• Dynamics of dislocation densities in a bounded channel. I: Smooth solutions to a singular coupled parabolic system
• Viscosity solutions of Hamilton-Jacobi equations
• Dynamics of Dislocation Densities in a Bounded Channel. Part II: Existence of Weak Solutions to a Singular Hamilton–Jacobi/Parabolic Strongly Coupled System
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Nonlinear Schrödinger evolution equations
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

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