Gromov-Hausdorff stability of reaction diffusion equations with Neumann boundary conditions under perturbations of the domain

DOI10.1016/j.jmaa.2020.124788zbMath1459.35026OpenAlexW3104195744MaRDI QIDQ1996897

Jihoon Lee

Publication date: 28 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124788

zbMATH Keywords

Neumann boundary conditionglobal attractorsreaction-diffusion equationsperturbation of domainGromov-Haudorff distance

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Semilinear parabolic equations (35K58)

Related Items (5)

Rate of convergence for reaction-diffusion equations with nonlinear Neumann boundary conditions and \(\mathcal{C}^1\) variation of the domain ⋮ Global attractors of generic reaction diffusion equations under Lipschitz perturbations ⋮ Structural stability and rate of convergence of global attractors ⋮ Gromov-Hausdorff stability of global attractors for the 3D Navier-Stokes equations with damping ⋮ Topological stability of Chafee-Infante equations under Lipschitz perturbations of the domain and equation

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