Uniqueness of solutions to the initial-value problem for partial differential equations with multiple characteristics
type: Item
instance of: scholarly article
title: Uniqueness of solutions to the initial-value problem for partial differential equations with multiple characteristics
zbMATH Open document ID: 0575.35009
DOI: 10.1016/0898-1221(85)90154-3
author: Marvin Zeman
publication date: 1985-01-01T00:00:00Z
review text: The author continues his investigations on the uniqueness of solutions to the Cauchy problem for partial differential operators with multiple characteristics [Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 7, 257- 285 (1980; Zbl 0478.35006)]. Assuming that the multiplicity of the characteristics is constant he shows that uniqueness can be proved without having to put a condition on the subprincipal symbol at doubly characteristic elliptic points. The proof is based on a Carleman estimate.
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 3918885
zbMATH Keywords: uniqueness
zbMATH Keywords: Cauchy problem
zbMATH Keywords: multiple characteristics
zbMATH Keywords: subprincipal symbol
zbMATH Keywords: doubly characteristic elliptic points
zbMATH Keywords: Carleman estimate
reviewed by: Wolfgang Watzlawek
MaRDI profile type: Publication
full work available at URL: 0898-1221(85)90154-3
OpenAlex ID: W2086705014
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 3918885