Abstract
In this paper, we study the global stability in determination of a coefficient in the transmission wave equation from data of the solution in a subboundary over a time interval. Providing regular initial data, we prove a hölder stability estimate in the inverse problem with a single measurement. Moreover, the exponent in the stability estimate depends on the regularity of initial data.
Acknowledgements
The author thank the anonymous referee for very useful comments and insightful suggestions. The author is grateful to Professor M. Bellassoued for instructive discussions, for his useful remarks, and for his comments on this work.