On uniqueness for the critical wave equation

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dc.creatorMasmoudi, Nader
dc.creatorPlanchon, Fabrice
dc.date2006-03-03
dc.date.accessioned2026-07-07T07:06:29Z
dc.date.available2026-07-07T07:06:29Z
dc.descriptionWe prove the uniqueness of weak solutions to the critical defocusing wave equation in 3D under a local energy inequality condition. More precisely, we prove the uniqueness of $ u \in L^\infty\_t(\dot{H}^{1})\cap \dot{W}^{1,\infty}\_t(L^2)$, under the condition that $u$ verifies some local energy inequalities.
dc.description12 pages, to appear in Comm. Partial Differential Equations
dc.identifierhttps://arxiv.org/abs/math/0603085
dc.identifierhttp://arxiv.org/abs/math/0603085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110046
dc.subjectAnalysis of PDEs
dc.subject35L70,58J45
dc.titleOn uniqueness for the critical wave equation
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