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