L2 formulation of multidimensional scalar conservation laws

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dc.creatorBrenier, Yann
dc.date2006-09-27
dc.date.accessioned2026-07-07T07:39:44Z
dc.date.available2026-07-07T07:39:44Z
dc.descriptionWe show that Kruzhkov's theory of entropy solutions to multidimensional scalar conservation laws can be entirely recast in L2 and fits into the general theory of maximal monotone operators in Hilbert spaces. Our approach is based on a combination of level-set, kinetic and transport-collapse approximations, in the spirit of previous works by Giga, Miyakawa, Osher, Tsai and the author.
dc.identifierhttps://arxiv.org/abs/math/0609761
dc.identifierhttp://arxiv.org/abs/math/0609761
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121561
dc.subjectAnalysis of PDEs
dc.subject35L65, 47H05
dc.titleL2 formulation of multidimensional scalar conservation laws
dc.typetext

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