# 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} }

- Published 2005
DOI:10.1080/00036810500048004

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

#### Citations

##### Publications citing this paper.

SHOWING 1-5 OF 5 CITATIONS

## Estimation of coefficients in a hyperbolic equation with impulsive inputs

VIEW 11 EXCERPTS

CITES RESULTS

HIGHLY INFLUENCED

## Lipschitz stability in an inverse hyperbolic problem with impulsive forces

VIEW 14 EXCERPTS

CITES BACKGROUND