DOMAIN PERTURBATION FOR PARABOLIC EQUATIONS

DOI10.1017/S0004972711002930zbMath1233.35009arXiv1109.3257OpenAlexW2156570447MaRDI QIDQ3115780

Parinya Sa Ngiamsunthorn

Publication date: 10 February 2012

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

Full work available at URL: https://arxiv.org/abs/1109.3257

zbMATH Keywords

nonautonomous equationspersistence of invariant manifoldsPhD thesisMosco convergence of domains

Mathematics Subject Classification ID

Variational inequalities (49J40) Abstract parabolic equations (35K90) Initial-boundary value problems for second-order parabolic equations (35K20) Perturbations in context of PDEs (35B20) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Semilinear parabolic equations (35K58)

Related Items (1)

Weak and strong approximation of semigroups on Hilbert spaces

Cites Work

• The effect of domain shape on the number of positive solutions of certain nonlinear equations. II
• The effect of domain shape on the number of positive solutions of certain nonlinear equations
• 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
• Convergence of convex sets and of solutions of variational inequalities

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