Dynamics of parabolic equations in domains with a small hole. II: Continuity of the attractors

DOI10.1016/J.JDE.2024.04.003MaRDI QIDQ6493719

German Lozada-Cruz, E. A. Tavares-Lima

Publication date: 29 April 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

attractorsparabolic equationslower and upper semi-continuitydomain with hole

Mathematics Subject Classification ID

Attractors (35B41) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Cites Work

• The effect of domain shape on the number of positive solutions of certain nonlinear equations. II
• Dynamics in Dumbbell domains. I: Continuity of the set of equilibria
• Dynamics in dumbbell domains III. Continuity of attractors
• The effect of domain shape on the number of positive solutions of certain nonlinear equations
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• The norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes
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