Gevrey-type results in the identification of lower order coefficients in linear hyperbolic integrodifferential equations

A. Lorenzi; F. Messina

doi:10.1515/1569394042215847

Published by De Gruyter 2004

Gevrey-type results in the identification of lower order coefficients in linear hyperbolic integrodifferential equations

A. Lorenzi and F. Messina

From the journal Journal of Inverse and Ill-posed Problems

https://doi.org/10.1515/1569394042215847

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In this paper we determine, under a suitable additional information and in a framework of Gevrey (or analytic) functions with respect to a specific group of spatial variables, a coefficient q in a linear hyperbolic equation of the form (1.1) related to a spatial domain of the form Ω × × , where Ω is a (possibly non-smooth) domain in . In our context determining q means to show existence, uniqueness and continuous dependence of q on the data.

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Published in Print: 2004-06-01

Gevrey-type results in the identification of lower order coefficients in linear hyperbolic integrodifferential equations

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