Ill-posedness for one-dimensional wave maps at the critical regularity

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dc.creatorTao, Terence
dc.date1998-11-29
dc.date1999-03-29
dc.date.accessioned2026-07-07T05:27:02Z
dc.date.available2026-07-07T05:27:02Z
dc.descriptionWe show that the wave map equation in $\R^{1+1}$ is in general ill-posed in the critical space $\dot H^{1/2}$, and the Besov space $\dot B^{1/2,1}_2$. The problem is attributed to the bad behaviour of the one-dimensional bilinear expression $D^{-1}(f Dg)$ in these spaces.
dc.description10 pages, 1 figure, submitted to Amer. J. Math
dc.identifierhttps://arxiv.org/abs/math/9811169
dc.identifierhttp://arxiv.org/abs/math/9811169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77774
dc.subjectAnalysis of PDEs
dc.subject35L70
dc.titleIll-posedness for one-dimensional wave maps at the critical regularity
dc.typetext

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