Remarks on invariance in reaction- diffusion equations
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Publication:3913773
DOI10.1016/0362-546X(81)90077-8zbMath0463.35044MaRDI QIDQ3913773
Publication date: 1981
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
asymptotic behaviorreaction-diffusion systemLiapunov functionalsNeumann boundary value conditionsinvariance in the meaninvariance of regionspointwise invariance
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45)
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Cites Work
- Semigroups of linear operators and applications to partial differential equations
- Nonlinear reaction-diffusion models for interacting populations
- Qualitative theory of the Fitz Hugh-Nagumo equations
- An application of the invariance principle to reaction diffusion equations
- Global stability in Lotka-Volterra systems with diffusion
- Eigenvalue bounds for AB+BA, with A, B positive definite matrices
- Dynamical systems and stability
- Stability Properties of Solutions to Systems of Reaction-Diffusion Equations
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
- A comparison technique for systems of reaction-diffusion equations
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