The Goursat problem for a generalized Helmholtz operator in the plane
|Title:||The Goursat problem for a generalized Helmholtz operator in the plane||Authors:||Ebenfelt, Peter
|Permanent link:||http://hdl.handle.net/10197/5500||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 problem; Partial differential equations||DOI:||10.1007/s11854-008-0033-5||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
Show full item record
Page view(s) 5065
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.