Inertial manifolds with delay for retarded semilinear parabolic equations

DOI10.3934/dcds.2000.6.829zbMath1011.37046OpenAlexW2073166095MaRDI QIDQ1864067

Alexander V. Rezounenko

Publication date: 16 March 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2000.6.829

zbMATH Keywords

dissipative systemsdistributed delaynumerical simulationinfinite-dimensional dynamical systemsconcentrated delaysretarded nonlinear PDEs

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (4)

Approximate inertial manifolds for retarded semilinear parabolic equations. ⋮ Investigations of retarded PDEs of second order in time using the method of inertial manifolds with delay. ⋮ Inertial manifolds for retarded second order in time evolution equations ⋮ A sufficient condition for the existence of approximate inertial manifolds containing the global attractor.

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