Unique determination of a time-dependent potential for wave equations from partial data
Analysis of PDEs
2015-06-18 v3
Abstract
We consider the inverse problem of determining a time-dependent potential , appearing in the wave equation in with a bounded domain of , , from partial observations of the solutions on . We prove global unique determination of a coefficient from these observations.
Cite
@article{arxiv.1505.06498,
title = {Unique determination of a time-dependent potential for wave equations from partial data},
author = {Yavar Kian},
journal= {arXiv preprint arXiv:1505.06498},
year = {2015}
}
Comments
The previous version of the paper arXiv:1406.5734 is now decomposed into two different papers with a new uniqueness result (that improves the previous one with weaker conditions and extension to the case of dimension 2) stated in the present paper and a new stability estimate (with different approach than the pervious version and extension to the case of dimension 2) stated in arXiv:1406.5734