Perturbation of domain for the linear parabolic equation

DOI10.1515/FORUM-2023-0069MaRDI QIDQ6500034

Carlos A. Morales, Ngoc-Thach Nguyen

Publication date: 10 May 2024

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

stabilityLebesgue measurelinear parabolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05)

Cites Work

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• Dynamics in Dumbbell domains. I: Continuity of the set of equilibria
• Geometric theory of semilinear parabolic equations
• Dirichlet problems on varying domains.
• Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain
• Reaction-diffusion equation on thin domains
• Gromov-Hausdorff stability of global attractors of reaction diffusion equations under perturbations of the domain
• Dan Henry's work on perturbation of the boundary problems
• Gromov-Hausdorff stability of inertial manifolds under perturbations of the domain and equation
• Continuity of attractors for a reaction-diffusion problem with nonlinear boundary conditions with respect to variations of the domain
• Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs
• Continuous dependence of eigenvalues on the domain

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