A NOTE ON RESOLVENT CONVERGENCE ON A THIN DOMAIN

DOI10.1017/S0004972713000555zbMath1286.35022MaRDI QIDQ5406102

Ricardo P. Silva

Publication date: 1 April 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

strong convergence of resolvent operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25)

Related Items (5)

Influence of bounded states in the Neumann Laplacian in a thin waveguide ⋮ Effective Hamiltonians in surfaces of thin quantum waveguides ⋮ Behavior of the \(p\)-Laplacian on thin domains ⋮ Remarks on the p-Laplacian on thin domains ⋮ CONVERGENCE OF SOLUTIONS TO SOME ELLIPTIC EQUATIONS IN BOUNDED NEUMANN THIN DOMAINS

Cites Work

• Unnamed Item
• Semilinear parabolic problems in thin domains with a highly oscillatory boundary
• Dynamics in Dumbbell domains. I: Continuity of the set of equilibria
• Dynamics in dumbbell domains. II: The limiting problem
• Dynamics in dumbbell domains III. Continuity of attractors
• Asymptotic behavior of solutions of nonlinear parabolic equations on two-layer thin domains
• Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain
• Attractors for reaction-diffusion equations on thin domains whose linear part is non-self-adjoint
• Reaction-diffusion equations on thin domains with varying order of thinness
• Continuity of attractors for parabolic problems with localized large diffusion
• Continuity of attractors for net-shaped thin domains
• A General Approximation Scheme for Attractors of Abstract Parabolic Problems
• Curved thin domains and parabolic equations
• A reaction-diffusion equation on a net-shaped thin domain
• The effect of domain squeezing upon the dynamics of reaction-diffusion equations

This page was built for publication: A NOTE ON RESOLVENT CONVERGENCE ON A THIN DOMAIN