On the existence and smoothness of invariant manifolds of semilinear evolution equations

DOI10.3836/TJM/1270132274zbMath0723.58008OpenAlexW2050103494MaRDI QIDQ756802

Tatsuo Itoh

Publication date: 1990

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270132274

zbMATH Keywords

invariancesmoothnesssemilinear evolution equationsmall perturbations

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

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