On the determination of the sound speed and a damping coefficient by two measurements

@inproceedings{Romanov2005OnTD,
  title={On the determination of the sound speed and a damping coefficient by two measurements},
  author={Vladimir G. Romanov and Masahiro Yamamoto},
  year={2005}
}
We discuss an inverse problem of finding the sound speed c(x) and a damping coefficient σ( x ) in a second-order hyperbolic equation from two boundary observations. The coefficients are assumed to be unknown inside a ball in with n ≥ 2. On a suitable bounded part of the cylindrical surface, Cauchy data for solutions to a hyperbolic equation with zero initial data and a source located on the plane , are supposed to be given for two different unit vectors , k = 1, 2. We obtain a conditional… CONTINUE READING