A singular perturbation in a linear parabolic equation with terms concentrating on the boundary

DOI10.1007/S13163-011-0064-9zbMath1284.35044OpenAlexW2143762109MaRDI QIDQ365169

Aníbal Rodgriguez-Bernal

Publication date: 4 September 2013

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-011-0064-9

zbMATH Keywords

resolvent estimatesperturbation of analytic semigroups

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) One-parameter semigroups and linear evolution equations (47D06) PDEs with low regular coefficients and/or low regular data (35R05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15)

Related Items (5)

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 ⋮ 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 ⋮ Continuity of dynamical structures for nonautonomous evolution equations under singular perturbations

Cites Work

• Asymptotic behavior of a parabolic problem with terms concentrated in the boundary
• Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary
• Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Analytic semigroups and optimal regularity in parabolic problems
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