A1 Journal article (refereed)
A minimization problem with free boundary and its application to inverse scattering problems (2024)

Kow, P.-Z., Salo, M., & Shahgholian, H. (2024). A minimization problem with free boundary and its application to inverse scattering problems. Interfaces and Free Boundaries, 26(3), 415-471. https://doi.org/10.4171/ifb/515

JYU authors or editors

Publication details

All authors or editors: Kow, Pu-Zhao; Salo, Mikko; Shahgholian, Henrik

Journal or series: Interfaces and Free Boundaries

ISSN: 1463-9963

eISSN: 1463-9971

Publication year: 2024

Publication date: 21/03/2024

Volume: 26

Issue number: 3

Pages range: 415-471

Publisher: European Mathematical Society - EMS - Publishing House GmbH

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.4171/ifb/515

Publication open access: Not open

Publication channel open access: 

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2303.12605

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.

Keywords: inverse problems; partial differential equations

Free keywords: quadrature domain; inverse scattering problem; Helmholtz equation; acoustic equation; free boundary

Contributing organizations

Ministry reporting: Yes

VIRTA submission year: 2024

Preliminary JUFO rating: 1