Unique continuation for elliptic operators with non-multiple characteristics
type: Item
instance of: scholarly article
title: Unique continuation for elliptic operators with non-multiple characteristics
zbMATH Open document ID: 0962.47021
DOI: 10.1007/BF02803514
author: Laura De Carli
published in: Israel Journal of Mathematics
publication date: 2001-06-04T00:00:00Z
review text: The paper deals with a unique continuation theorem for elliptic operators of the form \(P(D)+V(x).\) \(P(D)\) is an elliptic operator with real constant coefficients of order \(m,\) with \(2\leq m\leq n\) and \(n\leq 3\) and with simple complex characteristics; \(V(x)\) belongs to \(L^{n/m}(\mathbb R^n).\) To prove the main result of the paper, a restriction theorem for the Fourier transform to manifolds of codimension 2 is used.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 35J30
zbMATH DE Number: 1506580
zbMATH Keywords: elliptic operators
zbMATH Keywords: simple complex characteristics
zbMATH Keywords: unique continuation
zbMATH Keywords: Fourier transform
zbMATH Keywords: restriction theorem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1506580