Uniform boundedness and convergence of solutions to the systems with a single nonzero cross-diffusion

DOI10.1016/S0022-247X(03)00045-3zbMath1032.35080MaRDI QIDQ1874571

Seong-A Shim

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviora priori boundsLyapunov functionalszero Neumann boundary conditionsone space dimensionspatial segregation of competing and diffusing species

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)

Related Items (15)

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Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• An initial-boundary-value problem for a certain density-dependent diffusion system
• Geometric theory of semilinear parabolic equations
• On the global existence of a cross-diffusion system
• Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
• Global solution to some quasilinear parabolic system in population dynamics

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