Global solutions to a class of strongly coupled parabolic systems

DOI10.1007/BF01444644zbMath0801.35064MaRDI QIDQ1204143

Michael Wiegner

Publication date: 3 March 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164937

zbMATH Keywords

global classical solutionscross diffusionstrongly coupled quasilinear parabolic systems

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) A priori estimates in context of PDEs (35B45)

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Cites Work

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• Pattern formation in competition-diffusion systems in nonconvex domains
• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• An initial-boundary-value problem for a certain density-dependent diffusion system
• On \(C_{\alpha}\)-regularity of the gradient of solutions of degenerate parabolic systems
• Local existence for quasilinear parabolic systems under nonlinear boundary conditions
• Global existence for semilinear parabolic systems.
• Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations

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