English

The probe and enclosure methods for inverse obstacle scattering problems. The past and present

Analysis of PDEs 2011-09-21 v4 Mathematical Physics math.MP

Abstract

More than ten years ago Ikehata discovered two mathematical methods for the purpose of extracting information about the location and shape of unknown discontinuity embedded in a known background medium from observation data. The methods are called the probe and enclosure methods. This paper presents their past and recent applications to inverse obstacle scattering problems of acoustic wave.

Keywords

Cite

@article{arxiv.1002.0198,
  title  = {The probe and enclosure methods for inverse obstacle scattering problems. The past and present},
  author = {Masaru Ikehata},
  journal= {arXiv preprint arXiv:1002.0198},
  year   = {2011}
}

Comments

22pages. submitted to RIMS Kokyuroku (Febru. 1. 2010). corrected (2.1)

R2 v1 2026-06-21T14:41:48.037Z