Rate of convergence for reaction-diffusion equations with nonlinear Neumann boundary conditions and $\mathcal{C}^1$ variation of the domain

Attractors (35B41) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Cites Work

Rate of convergence of global attractors of some perturbed reaction-diffusion problems
Domain perturbation and invariant manifolds
Dynamics in Dumbbell domains. I: Continuity of the set of equilibria
Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary
Geometric theory of semilinear parabolic equations
Spatial homogeneity in parabolic problems with nonlinear boundary conditions
Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain
Reaction-diffusion equation on thin domains
Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a non uniformly Lipschitz deformation
Gromov-Hausdorff stability of reaction diffusion equations with Neumann boundary conditions under perturbations of the domain
Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems
Rate of convergence of global attractors for some perturbed reaction-diffusion equations under smooth perturbations of the domain
Rate of convergence of attractors for singularly perturbed semilinear problems
Continuity of attractors for a family of $\mathcal {C}^1$ perturbations of the square
Parabolic equations with localized large diffusion: rate of convergence of attractors
Continuity of attractors for parabolic problems with localized large diffusion
Continuity of attractors for a reaction-diffusion problem with nonlinear boundary conditions with respect to variations of the domain
Hadamard’s Determinant Inequality
A General Approximation Scheme for Attractors of Abstract Parabolic Problems
Abstract Parabolic Evolution Equations and their Applications
Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds
Continuity of attractors for $\mathcal{C}^1$ perturbations of a smooth domain
RAPIDLY VARYING BOUNDARIES IN EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS: THE CASE OF A LIPSCHITZ DEFORMATION
Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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Rate of convergence for reaction-diffusion equations with nonlinear Neumann boundary conditions and \(\mathcal{C}^1\) variation of the domain