Sufficient conditions of local solvability for partial differential operators in the Colombeau context

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dc.creatorGaretto, Claudia
dc.date2009-02-03
dc.date.accessioned2026-07-07T12:37:18Z
dc.date.available2026-07-07T12:37:18Z
dc.descriptionWe provide sufficient conditions of local solvability for partial differential operators with variable Colombeau coefficients. We mainly concentrate on operators which admit a right generalized pseudodifferential parametrix and on operators which are a bounded perturbation of a differential operator with constant Colombeau coefficients. The local solutions are intended in the Colombeau algebra $\G(\Om)$ as well as in the dual $\LL(\Gc(\Om),\wt{\C})$.
dc.identifierhttps://arxiv.org/abs/0902.0508
dc.identifierhttp://arxiv.org/abs/0902.0508
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218392
dc.subjectAnalysis of PDEs
dc.subject46F30, 35D99
dc.titleSufficient conditions of local solvability for partial differential operators in the Colombeau context
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