Inertial manifolds for semi-linear parabolic equations in admissible spaces

DOI10.1016/j.jmaa.2011.08.051zbMath1227.47047OpenAlexW1997465702MaRDI QIDQ643595

Nguyen Thieu Huy

Publication date: 2 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.051

zbMATH Keywords

inertial manifoldsLyapunov-Perron methodadmissibility of function spacessemi-linear parabolic equationsgeneralized spectral gap conditions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Applications of operator theory to differential and integral equations (47N20)

Related Items (9)

INERTIAL MANIFOLD FAMILY OF HIGH-ORDER NONLINEAR KIRCHHOFF-TYPE EQUATION ⋮ Inertial manifolds for parabolic differential equations: the fully nonautonomous case ⋮ Inertial manifolds for partial neutral functional differential equations in admissible spaces ⋮ Regularity of the inertial manifolds for evolution equations in admissible spaces and finite-dimensional feedback controllers ⋮ Inertial manifold for semi-linear non-instantaneous impulsive parabolic equations in an admissible space ⋮ Invariant manifolds for nonautonomous stochastic evolution equation ⋮ Admissible inertial manifolds for delay equations and applications to Fisher-Kolmogorov model ⋮ Admissible inertial manifolds for neutral equations and applications ⋮ On the existence and regularity of admissibly inertial manifolds with sectorial operators

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