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Lower bounds for the life-span of solutions of nonlinear wave equations in three dimensions

The paper deals with strict solutions u(x,t) = u(x(1),x(2),x(3),t) of an equation [Formula: see text] where Du is the set of four first derivatives of u. For given initial values u(x,0) = εF(x), u(t)(x,0) = εG(x), the life span T(ε) is defined as the supremum of all t to which the local solution can...

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Bibliografische Detailangaben
Veröffentlicht in:Proc Natl Acad Sci U S A
1. Verfasser: John, Fritz
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 1982
Schlagworte:
Online-Zugang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC346546/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593206/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.79.12.3933
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