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A timelike Cauchy problem and an inverse problem for general hyperbolic equations

โœ Scribed by Arif Amirov; Masahiro Yamamoto

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
240 KB
Volume
21
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

We prove a Carleman estimate for hyperbolic equations with variable principal parts and present applications to the unique continuation and an inverse problem. Our Carleman estimate covers cases which the existing Carleman estimates do not treat.

๐Ÿ“œ SIMILAR VOLUMES

Generalized Solutions to a Cauchy Proble
Generalized Solutions to a Cauchy Problem for a Nonconservative Hyperbolic System
โœ K.T. Joseph ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 323 KB

In this paper we show the existence of generalized solutions, in the sense of Colombeau, to a Cauchy problem for a nonconservative system of hyperbolic equations, which has applications in elastodynamics.