The motion of a transition layer for a bistable reaction diffusion equation with heterogeneous environment

DOI10.3934/DCDS.2010.26.901zbMath1191.35033OpenAlexW2049094348MaRDI QIDQ2379719

Shin-ichiro Ei, Hiroshi Matsuzawa

Publication date: 22 March 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.26.901

zbMATH Keywords

transition layerreaction diffusion equationspatial inhomogeneitybistable

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

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Shock solution for a class of nonlinear elliptic equation ⋮ Boundary perturbed problem for reaction diffusion time delay equation with two parameters ⋮ Boundary layer analysis of nonlinear reaction-diffusion equations in a polygonal domain ⋮ Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain ⋮ The motion of weakly interacting localized patterns for reaction-diffusion systems with nonlocal effect ⋮ Recent progresses in boundary layer theory

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