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Semi-linear wave equations

Name: Semi-linear wave equations
Creator: Michael Struwe
Keywords: regularity, Research exposition (monographs, survey articles) pertaining to partial differential equations, existence, 01 natural sciences, Mathematics - Analysis of PDEs, FOS: Mathematics, Wave equation, General existence and uniqueness theorems (PDE), Klein-Gordon equation, initial value problems

Semilinear wave equations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 1992Embargo end date: 01 Jan 1992Publisher:American Mathematical Society (AMS)Journal:Bulletin of the American Mathematical Society, volume 26, pages 53-85 (issn: 0273-0979, eissn: 1088-9485,

Authors: Michael Struwe;

doi: 10.1090/s0273-0979-1992-00225-2 , 10.48550/arxiv.math/9201268

arXiv: http://arxiv.org/abs/math/9201268

Semi-linear wave equations

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Abstract

We survey existence and regularity results for semi-linear wave equations. In particular, we review the recent regularity results for the u 5 {u^5} -Klein Gordon equation by Grillakis and this author and give a self-contained, slightly simplified proof.

Keywords

regularity, Research exposition (monographs, survey articles) pertaining to partial differential equations, existence, Mathematics - Analysis of PDEs, FOS: Mathematics, Wave equation, General existence and uniqueness theorems (PDE), Klein-Gordon equation, initial value problems, Second-order nonlinear hyperbolic equations, PDEs in connection with quantum mechanics, Analysis of PDEs (math.AP)

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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).	58
	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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