A minimization problem with free boundary and its application to inverse scattering problems

Pu-Zhao Kow; Mikko Salo; Henrik Shahgholian

doi:10.4171/ifb/515

JournalsifbVol. 26, No. 3pp. 415–471

A minimization problem with free boundary and its application to inverse scattering problems

Pu-Zhao Kow
National Chengchi University, Taipei, Taiwan
Mikko Salo
University of Jyväskylä, Jyväskylä, Finland
Henrik Shahgholian
KTH Royal Institute of Technology, Stockholm, Sweden

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Abstract

We study a minimization problem with free boundary, resulting in hybrid quadrature domains for the Helmholtz equation, as well as some applications to inverse scattering problems.

Cite this article

Pu-Zhao Kow, Mikko Salo, Henrik Shahgholian, A minimization problem with free boundary and its application to inverse scattering problems. Interfaces Free Bound. 26 (2024), no. 3, pp. 415–471

DOI 10.4171/IFB/515