Stable transition layers in a balanced bistable equation
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Publication:5933798
zbMath0981.34011MaRDI QIDQ5933798
Publication date: 14 June 2001
Published in: Differential and Integral Equations (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Nonlinear elliptic equations (35J60) Singular perturbations for ordinary differential equations (34E15)
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Multi-layered stationary solutions for a spatially inhomogeneous Allen--Cahn equation. ⋮ Stable transition layers in a balanced bistable equation with degeneracy ⋮ The sub-supersolution method for the Fitzhugh-Nagumo type reaction-diffusion system with heterogeneity ⋮ Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains ⋮ Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation ⋮ High-energy solutions for a phase transition problem. ⋮ Stable equilibria to a singularly perturbed reaction-diffusion equation in a degenerated heterogeneous environment ⋮ Stable equilibria of a singularly perturbed reaction-diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface ⋮ High frequency solutions for the singularly-perturbed one-dimensional nonlinear Schrödinger equation ⋮ On the internal transition layer to some inhomogeneous semilinear problems: interface location ⋮ Stable transition layers in an unbalanced bistable equation ⋮ Scalar parabolic PDEs and braids ⋮ Patterns in a balanced bistable equation with heterogeneous environments on surfaces of revolution ⋮ Clustering layers and boundary layers in spatially inhomogeneous phase transition problems.
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