Stability in a semilinear boundary value problem via invariant conefields

DOI10.1006/jdeq.1997.3319zbMath0893.35054OpenAlexW1997796167MaRDI QIDQ1377543

Jaroslaw Kwapisz

Publication date: 30 August 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/565ab1543e9f5db401ef7eb680b74c7cf92bd790

zbMATH Keywords

Neumann boundary conditionstransition layernon-transversal zeros

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25)

Related Items (1)

Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in \(N\)-dimensional domains

Cites Work

• Stable transition layers in a semilinear boundary value problem
• Examples of attractors in scalar reaction-diffusion equations
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Bifurcations in a parabolic equation with variable diffusion
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• On a nonlinear eigenvalue problem occurring in population genetics
• Stable Equilibria in a Scalar Parabolic Equation with Variable Diffusion
• Generic properties of equilibria of reaction-diffusion equations with variable diffusion
• Existence and stability of transition layers
• Monotone and oscillatory equilibrium solutions of a problem arising in population genetics
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