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Abstract
In this paper, we consider Carleman-type estimates and an inverse source problem for second-order hyperbolic systems in an anisotropic case. In Part I, we establish a Carleman-type estimate for hyperbolic systems in an anisotropic case by assuming that the coefficient matrices in the systems satisfy suitable conditions and taking the weight function where
and
for
in a bounded domain in
with
-boundary and
.
AMS Subject Classifications:
Acknowledgements
The author thanks Professor Masahiro Yamamoto (Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan) for his valuable comments. The author also thanks anonymous referees for their valuable comments.
Notes
Project 11101391 supported by National Natural Science Foundation of China.