In this paper we prove stability estimates of logarithmic type for an inverse problem consisting in the determination of unknown portions of the boundary of a domain in R^n, from a knowledge, in a finite time observation, of overdetermined boundary data for initial boundary value problem for anisotropic wave equation.
Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries / Sergio Vessella. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 1095-7154. - STAMPA. - 47:(2015), pp. 1419-1457. [10.1137/140976212]
Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries
VESSELLA, SERGIO
2015
Abstract
In this paper we prove stability estimates of logarithmic type for an inverse problem consisting in the determination of unknown portions of the boundary of a domain in R^n, from a knowledge, in a finite time observation, of overdetermined boundary data for initial boundary value problem for anisotropic wave equation.
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