English

Determination of a wave field in a laterally inhomogeneous medium from boundary data

Analysis of PDEs 2019-11-01 v1

Abstract

We deal with the Cauchy problem for a perturbed wave equation in the half-plane with data given on a part of the space-time boundary. The equation in consideration describes a wave process in a laterally inhomogeneous medium. We propose a reconstruction algorithm, which is applicable to the problem of determining nonstationary wave field from boundary data arising in geophysics.

Keywords

Cite

@article{arxiv.1910.14514,
  title  = {Determination of a wave field in a laterally inhomogeneous medium from boundary data},
  author = {M. N. Demchenko},
  journal= {arXiv preprint arXiv:1910.14514},
  year   = {2019}
}