The Goursat problem for a generalized Helmholtz operator in the plane

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Title: The Goursat problem for a generalized Helmholtz operator in the plane
Authors: Ebenfelt, Peter
Render, Hermann
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Date: Sep-2008
Online since: 2014-03-28T09:34:45Z
Abstract: We consider the Goursat problem in the plane for partial differential operators whose principal part is the pth 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.
Type of material: Journal Article
Publisher: Springer
Journal: Journal D`Analyse Mathematique
Volume: 105
Issue: 1
Start page: 149
End page: 168
Copyright (published version): 2008 Springer
Keywords: Goursat problemPartial differential equations
DOI: 10.1007/s11854-008-0033-5
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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