Regularity of solutions for the critical $N$-dimensional Burgers' equation

dc.creatorChan, Chi Hin
dc.creatorCzubak, Magdalena
dc.date2008-10-17
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:16:47Z
dc.date.available2026-07-07T10:16:47Z
dc.descriptionWe consider the fractional Burgers' equation on $\R^N$ with the critical dissipation term. We follow the parabolic De-Giorgi's method of Caffarelli and Vasseur \cite{Driftdiffusion} and show existence of smooth solutions given any initial datum in $L^2(\R^N)$.
dc.description31 pages; corrected one of the references, and fixed some typos
dc.identifierhttps://arxiv.org/abs/0810.3055
dc.identifierhttp://arxiv.org/abs/0810.3055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173627
dc.subjectAnalysis of PDEs
dc.titleRegularity of solutions for the critical $N$-dimensional Burgers' equation
dc.typetext

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