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Other literature type . 2020
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https://doi.org/10.2969/aspm/0...
Article . 2020 . Peer-reviewed
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https://doi.org/10.1142/978981...
Part of book or chapter of book . 2019 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.2969/asp...
Other literature type
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Quasi-periodic solutions to nonlinear PDEs

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book , Other literature type 01 Sep 2019Publisher:Mathematical Society of JapanJournal:Advanced Studies in Pure Mathematics (issn: 0920-1971, Copyright policy )
Authors: Wang, Wei-Min;

doi: 10.2969/aspm/08510463 , 10.1142/9789811208379_0003

Quasi-periodic solutions to nonlinear PDEs

Abstract

We present recent developments in the theory of quasi-periodic solutions to nonlinear PDEs, such as the nonlinear Schrodinger and the nonlinear Klein-Gordon equations. These solutions hold in arbitrary dimensions, and the quasi-periodicity can be either in time or space. The method hinges on multi-scale analysis, harmonic analysis and algebraic analysis.

Keywords

35M20, Newton iteration, quasi-periodic solutions, semi-algebraic geometry, 42A16

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green