Smoothness of inertial manifolds for semilinear evolution equations in complex Banach spaces.

zbMATH Open1224.35046MaRDI QIDQ621524

Satoru Takagi

Publication date: 2 February 2011

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

zbMATH Keywords

Banach spaceinertial manifoldsemilinear differential equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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Inertial manifolds for parabolic differential equations: the fully nonautonomous case ⋮ Periodic motions of species competition flows and inertial manifolds around them with nonautonomous diffusion ⋮ Dichotomy gap conditions, admissible spaces, and inertial manifolds ⋮ On the existence and regularity of admissibly inertial manifolds with sectorial operators

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