On the mixed Cauchy problem with data on singular conics

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Title: On the mixed Cauchy problem with data on singular conics
Authors: Ebenfelt, Peter
Render, Hermann
Permanent link: http://hdl.handle.net/10197/5501
Date: Aug-2008
Online since: 2014-03-28T09:37:53Z
Abstract: We consider a problem of mixed Cauchy type for certain holomorphic partial differential operators with the principal part Q2p(D) essentially being the (complex) Laplace operator to a power, Δp. We provide inital data on a singular conic divisor given by P = 0, where P is a homogeneous polynomial of degree 2p. We show that this problem is uniquely solvable if the polynomial P is elliptic, in a certain sense, with respect to the principal part Q2p(D).
Type of material: Journal Article
Publisher: OUP
Journal: Journal of the London Mathematical Society
Volume: 78
Issue: 1
Start page: 248
End page: 266
Copyright (published version): 2008 OUP
Keywords: Partial differential operatorsCauchy problem
DOI: 10.1112/jlms/jdn028
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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