Stability of Spherically Symmetric Wave Maps

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dc.creatorKrieger, Joachim
dc.date2005-03-02
dc.date.accessioned2026-07-07T05:17:37Z
dc.date.available2026-07-07T05:17:37Z
dc.descriptionWe study Wave Maps from R^{2+1} to the hyperbolic plane with smooth compactly supported initial data which are close to smooth spherically symmetric ones with respect to some H^{1+μ}, μ>0. We show that such Wave Maps don't develop singularities and stay close to the Wave Map extending the spherically symmetric data with respect to all H^{1+δ}, δ<μ_{0}(μ). We obtain a similar result for Wave Maps whose initial data are close to geodesic ones. This generalizes a theorem of Sideris for this context.
dc.description78 pages
dc.identifierhttps://arxiv.org/abs/math/0503048
dc.identifierhttp://arxiv.org/abs/math/0503048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74372
dc.subjectAnalysis of PDEs
dc.subject35L05
dc.titleStability of Spherically Symmetric Wave Maps
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