Local Existence for Nonlinear Wave Equation with Radial Data in 2+1 Dimensions

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dc.creatorWang, Chengbo
dc.creatorFang, Daoyuan
dc.date2007-05-20
dc.date.accessioned2026-07-07T08:02:33Z
dc.date.available2026-07-07T08:02:33Z
dc.descriptionWe get a local existence result in $H^s$ with $s>3/2$ for second order quasilinear wave equation with radial initial data in 2+1 dimensions, based on an improvement of Strichartz estimate in the radial case. Moreover, we get the corresponding local well-posed result for semilinear wave equation. The required index of regularity here is 1/4 less than the index 7/4, which is essentially sharp in general.
dc.description19pages, no figures
dc.identifierhttps://arxiv.org/abs/0705.2849
dc.identifierhttp://arxiv.org/abs/0705.2849
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129259
dc.subjectAnalysis of PDEs
dc.subject35L15; 35L70
dc.titleLocal Existence for Nonlinear Wave Equation with Radial Data in 2+1 Dimensions
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