Non unique solutions to boundary value problems for non symmetric divergence form equations

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dc.creatorAxelsson, Andreas
dc.date2007-09-14
dc.date2007-10-31
dc.date.accessioned2026-07-07T08:39:22Z
dc.date.available2026-07-07T08:39:22Z
dc.descriptionWe calculate explicitly solutions to the Dirichlet and Neumann boundary value problems in the upper half plane, for a family of divergence form equations with non symmetric coefficients with a jump discontinuity. It is shown that the boundary equation method and the Lax--Milgram method for constructing solutions may give two different solutions when the coefficients are sufficiently non symmetric.
dc.descriptionRevised version. To appear in Transactions of the American Mathematical Society
dc.identifierhttps://arxiv.org/abs/0709.2255
dc.identifierhttp://arxiv.org/abs/0709.2255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141050
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject35J25, 42A50
dc.titleNon unique solutions to boundary value problems for non symmetric divergence form equations
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