Invariant regions for quasilinear reaction-diffusion systems and applications to a two population model

DOI10.1007/BF01193829zbMath0869.35017OpenAlexW2048823453MaRDI QIDQ1817349

Konrad Horst Wilhelm Küfner

Publication date: 25 August 1997

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193829

zbMATH Keywords

strongly coupled quasilinear parabolic systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45)

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Cites Work

• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Invariant sets for strongly coupled reaction-diffusion systems under general boundary conditions
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• An initial-boundary-value problem for a certain density-dependent diffusion system
• Stationary pattern of some density-dependent diffusion system with competitive dynamics
• Global solutions to a class of strongly coupled parabolic systems
• Invariant sets for systems of partial differential equations I. Parabolic equations
• Global existence of solutions for a strongly coupled quasilinear parabolic system
• Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
• Global existence for semilinear parabolic systems.
• Quasilinear Evolution Equations and Parabolic Systems
• Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
• Global solution to some quasilinear parabolic system in population dynamics
• Global solutions for quasilinear parabolic systems with cross-diffusion effects
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