Global existence and nonexistence for some degenerate and strongly coupled quasilinear parabolic systems

DOI10.1016/J.JMAA.2011.05.075zbMath1233.35115OpenAlexW1987789419MaRDI QIDQ645361

Jian-jun Li, Wen-jie Gao

Publication date: 15 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.05.075

zbMATH Keywords

cross-diffusionblow-up in finite timetwo-species Lotka-Volterra population model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Qualitative properties of a cooperative degenerate Lotka-Volterra model ⋮ Existence and asymptotic behavior of solutions for quasilinear parabolic systems ⋮ THE EXISTENCE AND ASYMPTOTIC BEHAVIOR OF PERIODIC SOLUTIONS TO A QUASILINEAR PARABOLIC SYSTEM ⋮ Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions

Cites Work

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• Global and blow-up solutions for a mutualistic model
• Nonlinear elliptic boundary-value problems in unbounded domains
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• On diffusion-induced blowups in a mutualistic model

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