Stable stationary solutions induced by spatial inhomogeneity via ?-convergence

DOI10.1007/BF01245869zbMath0913.35013MaRDI QIDQ4213129

Arnaldo Simal do Nascimento

Publication date: 13 October 1998

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

zbMATH Keywords

semilinear diffusion equationspatial inhomogeneities

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in \(N\)-dimensional domains ⋮ Interior interfaces with (or without) boundary intersection for an anisotropic Allen-Cahn equation ⋮ 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 ⋮ Inner transition layers in an elliptic boundary value problem: a necessary condition ⋮ The roles of diffusivity and curvature in patterns on surfaces of revolution ⋮ On the role of diffusivity in some stable equilibria of a diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local minimizers induced by spatial inhomogeneity with inner transition layer
• A nonlinear parabolic equation with varying domain
• The effect of a singular perturbation on nonconvex variational problems
• Geometric theory of semilinear parabolic equations
• Convergence of solutions of one-dimensional semilinear parabolic equations
• Reaction-diffusion induced stability of a spatially inhomogeneous equilibrium with boundary layer formation
• The gradient theory of phase transitions and the minimal interface criterion
• Stable Equilibria in a Scalar Parabolic Equation with Variable Diffusion
• On the existence of multiple ordered solutions of nonlinear eigenvalue problems
• The gradient theory of phase transitions for systems with two potential wells
• Local minimisers and singular perturbations
• Nonconvex variational problems with anisotropic perturbations

This page was built for publication: Stable stationary solutions induced by spatial inhomogeneity via ?-convergence