First-order hyperbolic pseudodifferential equations with generalized symbols

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dc.creatorHoermann, Guenther
dc.date2003-07-31
dc.date2003-08-11
dc.date.accessioned2026-07-07T05:00:00Z
dc.date.available2026-07-07T05:00:00Z
dc.descriptionWe consider the Cauchy problem for a hyperbolic pseudodifferential operator whose symbol is generalized, resembling a representative of a Colombeau generalized function. Such equations arise, for example, after a reduction-decoupling of second-order model systems of differential equations in seismology. We prove existence of a unique generalized solution under log-type growth conditions on the symbol, thereby extending known results for the case of differential operators with generalized functions as coefficients.
dc.identifierhttps://arxiv.org/abs/math/0307406
dc.identifierhttp://arxiv.org/abs/math/0307406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68220
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject46F30; 35S10
dc.titleFirst-order hyperbolic pseudodifferential equations with generalized symbols
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