English

The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval

Analysis of PDEs 2011-09-21 v2 Mathematical Physics math.MP

Abstract

A simple method for some class of inverse obstacle scattering problems is introduced. The observation data are given by a wave field measured on a known surface surrounding unknown obstacles over a finite time interval. The wave is generated by an initial data with compact support outside the surface. The method yields the distance from a given point outside the surface to obstacles and thus more than the convex hull.

Keywords

Cite

@article{arxiv.0907.0109,
  title  = {The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval},
  author = {Masaru Ikehata},
  journal= {arXiv preprint arXiv:0907.0109},
  year   = {2011}
}

Comments

24pages, revised

R2 v1 2026-06-21T13:19:59.860Z