The Goursat problem for a generalized Helmholz operator in the plane

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dc.creatorEbenfelt, Peter
dc.creatorRender, Hermann
dc.date2007-03-04
dc.date.accessioned2026-07-07T07:50:13Z
dc.date.available2026-07-07T07:50:13Z
dc.descriptionWe consider the Goursat problem in the plane for partial differential operators whose principal part is the $p$th power of the standard Laplace operator. The data is posed on a union of $2p$ distinct lines through the origin. We show that the solvability of this Goursat problem depends on Diophantine properties of the geometry of lines on which the data is posed.
dc.identifierhttps://arxiv.org/abs/math/0703111
dc.identifierhttp://arxiv.org/abs/math/0703111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125089
dc.subjectAnalysis of PDEs
dc.subjectComplex Variables
dc.subject35A10, 35J05
dc.titleThe Goursat problem for a generalized Helmholz operator in the plane
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