Asymptotic stability via the Kreĭn-Rutman theorem for singularly perturbed parabolic periodic Dirichlet problems

DOI10.1134/S1560354710020231zbMath1211.35023OpenAlexW1985771101MaRDI QIDQ618216

Klaus R. Schneider, Lutz Recke, Nikolai N. Nefedov

Publication date: 14 January 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354710020231

zbMATH Keywords

lower and upper solutionsexponential asymptotic stabilityKreĭn-rutman theoremsingularly perturbed parabolic Dirichlet problems

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Linear operators on ordered spaces (47B60) Semilinear parabolic equations (35K58)

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Cites Work

• Geometric theory of semilinear parabolic equations
• An asymptotic method of differential inequalities for the investigation of periodic contrast structures: Existence, asymptotics, and stability
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