Perturbation of semi-linear evolution equations under weak assumptions at initial time

DOI10.1016/j.jde.2004.08.004zbMath1088.34054OpenAlexW1973935623MaRDI QIDQ1776831

Daniel Daners

Publication date: 12 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.jde.2004.08.004

zbMATH Keywords

perturbationsemilinear evolution equationsdomain variationparabolic boundary value problemsweak continuity properties

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear differential equations in abstract spaces (34G20)

Related Items (11)

Periodic-parabolic eigenvalue problems with a large parameter and degeneration ⋮ Local and global uniform convergence for elliptic problems on varying domains ⋮ Large deviations and transitions between equilibria for stochastic Landau-Lifshitz-Gilbert equation ⋮ The Neumann problem in an irregular domain ⋮ Periodic solutions of nonlinear hyperbolic evolution systems ⋮ Persistence of bounded solutions of parabolic equations under domain perturbation ⋮ Principal eigenvalues for generalised indefinite Robin problems ⋮ On the convergence of solutions for SPDEs under perturbation of the domain ⋮ Weak and strong approximation of semigroups on Hilbert spaces ⋮ Domain perturbation and invariant manifolds ⋮ DOMAIN PERTURBATION FOR PARABOLIC EQUATIONS

Cites Work

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• The effect of domain shape on the number of positive solutions of certain nonlinear equations. II
• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Semigroups of linear operators and applications to partial differential equations
• Pseudo-differential operators in \(F\) \(s_{p,q}\)-spaces
• Parabolic evolution equations in interpolation and extrapolation spaces
• Geometric theory of semilinear parabolic equations
• Addendum: The effect of domain shape on the number of positive solutions of certain nonlinear equations. II
• Potential and scattering theory on wildly perturbed domains
• Domain perturbation for elliptic equations subject to Robin boundary conditions
• Dirichlet problems on varying domains.
• Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain
• Neumann eigenvalue problems on exterior perturbations of the domain
• Domain perturbation for linear and nonlinear parabolic equations
• Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
• Generation of Analytic Semigroups by Strongly Elliptic Operators
• Analytic semigroups and optimal regularity in parabolic problems
• Some elementary examples in nonlinear operator theory
• Approximation of degenerate semigroups

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