Normal forms and invariant manifolds for nonlinear, non-autonomous PDEs, viewed as ODEs in infinite dimensions

DOI10.1016/j.jde.2019.07.021zbMath1423.35011arXiv1906.04420OpenAlexW2964245684WikidataQ127443480 ScholiaQ127443480MaRDI QIDQ2273514

Peter Hochs, Anthony Roberts

Publication date: 24 September 2019

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

Full work available at URL: https://arxiv.org/abs/1906.04420

zbMATH Keywords

Burgers equationdifferentiable and polynomial maps between Fréchet spacesstable and unstable coordinates

Mathematics Subject Classification ID

Locally convex Fréchet spaces and (DF)-spaces (46A04) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Semilinear parabolic equations (35K58) Methods of ordinary differential equations applied to PDEs (35A24)

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