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 × R+ × R+, where is a (possibly non-smooth) domain in Rn. In our context determining q means to show existence, uniqueness and continuous dependence of q on the data.
Gevrey-type results in the identification of lower order coefficients in linear hyperbolic integrodifferential equations / Alfredo Lorenzi, Francesca Messina. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 12:3(2004), pp. 297-336. [10.1163/1569394042215847]
Gevrey-type results in the identification of lower order coefficients in linear hyperbolic integrodifferential equations
A. Lorenzi;F. Messina
2004
Abstract
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 × R+ × R+, where is a (possibly non-smooth) domain in Rn. In our context determining q means to show existence, uniqueness and continuous dependence of q on the data.
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