Everywhere Regularity of Solutions to a Class of Strongly Coupled Degenerate Parabolic Systems

DOI10.1080/0360530050036038zbMath1096.35030OpenAlexW2079426764MaRDI QIDQ5291770

Dung Le, Toan T. Nguyen

Publication date: 22 May 2006

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0360530050036038

zbMATH Keywords

degenerate systemsstrongly coupled parabolic systemsstructural conditionsHölder continuity of weak solutionssystem of Shigesada-Kawasaki-Teramoto

Mathematics Subject Classification ID

Related Items (11)

Entropic structure and duality for multiple species cross-diffusion systems ⋮ Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts ⋮ Fourier-integral-operator product representation of solutions to first-order symmetrizable hyperbolic systems ⋮ Partial Hölder regularity for solutions of a class of cross-diffusion systems with entropy structure ⋮ Uniqueness of strong solutions and weak-strong stability in a system of cross-diffusion equations ⋮ Degenerate parabolic equations with partial boundary value conditions ⋮ Cross-diffusion systems with non-zero flux and moving boundary conditions ⋮ Nonlinear degenerate cross-diffusion systems with nonlocal interaction ⋮ From Nonlocal to Classical Shigesada--Kawasaki--Teramoto Systems: Triangular Case with Bounded Coefficients ⋮ Hölder regularity for porous medium systems ⋮ Regularity of BMO weak solutions to nonlinear parabolic systems via homotopy

Cites Work

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• On the partial regularity of weak solutions on nonlinear parabolic systems
• Global solutions to a class of strongly coupled parabolic systems
• Remarks on Hölder continuity for parabolic equations and convergence to global attractors
• Global existence for a class of strongly coupled parabolic systems
• Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.

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