A density-dependent diffusion system with stable discontinuous stationary solutions

DOI10.1007/BF01766153zbMath0673.35054MaRDI QIDQ1120739

D. G. Aronson, Hans F. Weinberger, Tesei, Alberto

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

existencepopulation dynamicscoexistenceuniqueasymptotically stableunstablecross diffusioncontinua of discontinuous steady state solutionssegregation effectsstability solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Bifurcations in context of PDEs (35B32)

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Cites Work

• Equations d'évolution abstraites non linéaires de type parabolique
• Stationary pattern of some density-dependent diffusion system with competitive dynamics
• The linearization principle for the stability of solutions of quasilinear parabolic equations. I
• Equations of parabolic type in a Banach space
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