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Bulletin (new series) of the American Mathematical Society
Article . 2004 . Peer-reviewed
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The wave maps equation

descriptionPublicationkeyboard_double_arrow_right Article 08 Jan 2004 English Publisher:American Mathematical Society (AMS)Journal:Bulletin of the American Mathematical Society, volume 41, pages 185-204 (issn: 0273-0979, eissn: 1088-9485, Copyright policy )
Authors: Daniel Tataru;

doi: 10.1090/s0273-0979-04-01005-5

The wave maps equation

Abstract

The wave maps equation has become a very popular topic in recent years. The aim of these expository notes is to present a non-technical survey of the ideas and methods which have proved useful in the study of wave maps, leading up to the latest results. The remaining open problems are also stated and explained.

Related Organizations
Keywords

general relativity, open problems, PDEs in connection with relativity and gravitational theory, hyperbolic Yang-Mills equation, Second-order nonlinear hyperbolic equations

  • BIP!
    Impact byBIP!
    citations
    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).
    		 57
    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.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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citations
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!
57
Top 10%
Top 10%
Top 10%
gold