Asymptotic behavior of a parabolic problem with terms concentrated in the boundary

DOI10.1016/j.na.2009.05.036zbMath1239.35027OpenAlexW1992325944MaRDI QIDQ425826

Ángela Jiménez-Casas, Aníbal Rodgriguez-Bernal

Publication date: 9 June 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/id/eprint/12932/1/2009asymptotic-14.pdf

zbMATH Keywords

attractorsasymptotic behaviorupper semicontinuityconcentrated integrals

Mathematics Subject Classification ID

Attractors (35B41) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (13)

Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary ⋮ A nonlinear elliptic problem with terms concentrating in the boundary ⋮ Concentrated terms and varying domains in elliptic equations: Lipschitz case ⋮ A singular perturbation in a linear parabolic equation with terms concentrating on the boundary ⋮ PDE problems with concentrating terms near the boundary ⋮ A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary ⋮ Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries ⋮ Attractors for a nonlinear parabolic problem with terms concentrating on the boundary ⋮ Lower semicontinuity of the pullback attractors of non-autonomous damped wave equations with terms concentrating on the boundary ⋮ Upper semicontinuity of the pullback attractors of non-autonomous damped wave equations with terms concentrating on the boundary ⋮ Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary ⋮ Delay nonlinear boundary conditions as limit of reactions concentrating in the boundary ⋮ Dynamics of thermoelastic plate system with terms concentrated in the boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Extremal equilibria for reaction-diffusion equations in bounded domains and applications
• Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary
• Geometric theory of semilinear parabolic equations
• Parabolic problems with nonlinear boundary conditions and critical nonlinearities
• The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary
• Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds

This page was built for publication: Asymptotic behavior of a parabolic problem with terms concentrated in the boundary