Differentiability of parabolic semi-flows in \(L^p\)-spaces and inertial manifolds

DOI10.1023/A:1026407510608zbMath0990.35074OpenAlexW1535420809MaRDI QIDQ1592762

Herbert Koch

Publication date: 21 August 2002

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

Full work available at URL: https://doi.org/10.1023/a:1026407510608

zbMATH Keywords

semilinear parabolic equationLaplace-Beltrami operatorinertial manifolddependence on initial dataglobal compact differentiable semiflow

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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