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Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation

✍ Scribed by Mourad Bellassoued; Masahiro Yamamoto

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 224 KB
Volume: 85
Category: Article
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2005.02.004

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✦ Synopsis

We study the global stability in determination of a coefficient in an acoustic equation from data of the solution in a subboundary over a time interval. Providing regular initial data and values of coefficients in a neighbourhood of the boundary, without any assumption on an observation subboundary, we prove the logarithmic stability estimate in the inverse problem with a single measurement. Moreover the exponent in the stability estimate depends on the regularity of initial data.

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