Global Regularity for General Non-Linear Wave Equations I. (6+1) and Higher Dimensions

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dc.creatorSterbenz, Jacob
dc.date2004-02-12
dc.date.accessioned2026-07-07T05:05:23Z
dc.date.available2026-07-07T05:05:23Z
dc.descriptionWe solve here the so called division problem for wave equations with generic quadratic non-linearities in high dimensions. Specifically, we show that semilinear wave equations which can be written as systems involving quadratic derivative non-linearities are globally well posed in (6+1) and higher dimensions for all regularities greater than the scaling. This paper is the first in a series of works where we discuss the global regularity properties of general non-linear wave equations for all spatial dimensions greater than or equal to 4.
dc.description24 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0402193
dc.identifierhttp://arxiv.org/abs/math/0402193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70147
dc.subjectAnalysis of PDEs
dc.subject35L05
dc.titleGlobal Regularity for General Non-Linear Wave Equations I. (6+1) and Higher Dimensions
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