Persistence of bounded solutions of parabolic equations under domain perturbation

DOI10.1007/s00028-011-0121-3zbMath1252.35027OpenAlexW1989214986MaRDI QIDQ434328

Parinya Sa Ngiamsunthorn

Publication date: 10 July 2012

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

Full work available at URL: https://doi.org/10.1007/s00028-011-0121-3

zbMATH Keywords

exponential dichotomysemilinear equations\(L ^{p }\)-theorylinear equation of divergence type

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Perturbations in context of PDEs (35B20)

Related Items (1)

Weak and strong approximation of semigroups on Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• A nonlinear parabolic equation with varying domain
• The effect of domain shape on the number of positive solutions of certain nonlinear equations
• Geometric theory of semilinear parabolic equations
• Domain perturbation for elliptic equations subject to Robin boundary conditions
• Perturbation of semi-linear evolution equations under weak assumptions at initial time
• Dirichlet problems on varying domains.
• Domain perturbation for linear and nonlinear parabolic equations
• Variational methods in shape optimization problems
• Boundary oscillations and nonlinear boundary conditions
• Convergence of convex sets and of solutions of variational inequalities
• Uniform convergence for elliptic problems on varying domains
• A CONLEY INDEX CALCULATION
• On the Spectrum of C 0 -Semigroups
• A Duality Approach for the Boundary Variation of Neumann Problems
• Bounded solutions for non-autonomous parabolic equations

This page was built for publication: Persistence of bounded solutions of parabolic equations under domain perturbation