Recovery of a source term or a speed with one measurement and applications

Details Recovery of a source term or a speed with one measurement and applications Recovery of a source term or a speed with one measurement and applications

2011-03-06

arxiv.org/abs/1103.1097v1

Mathematics

Analysis of PDEs

Scientific paper

We study the problem of recovery the source $a(t,x)F(x)$ in the wave equation in anisotropic medium with $a$ known so that $a(0,x)\not=0$ with a single measurement. We use Carleman estimates combined with geometric arguments and give sharp conditions for uniqueness. We also study the non-linear problem of recovery the sound speed in the equation $u_{tt} -c^2(x)\Delta u =0$ with one measurement. We give sharp conditions for stability, as well. An application to thermoacoustic tomography is also presented.

Affiliated with

Also associated with

No associations

Rating

Recovery of a source term or a speed with one measurement and applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Recovery of a source term or a speed with one measurement and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recovery of a source term or a speed with one measurement and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418541