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A minimization problem with free boundary and its application to inverse scattering problems
Natl Chengchi Univ, Dept Math Sci, 64,Sec 2,ZhiNan Rd, Taipei 116302, Taiwan..
Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland..
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-1316-7913
2024 (English)In: Interfaces and free boundaries (Print), ISSN 1463-9963, E-ISSN 1463-9971, Vol. 26, no 3, p. 415-471Article in journal (Refereed) Published
Abstract [en]

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.
Place, publisher, year, edition, pages
European Mathematical Society - EMS , 2024. Vol. 26, no 3, p. 415-471
Keywords [en]
quadrature domain, inverse scattering problem, Helmholtz equation, acoustic equation, free boundary
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-350477DOI: 10.4171/IFB/515ISI: 001258909100003Scopus ID: 2-s2.0-85193841180OAI: oai:DiVA.org:kth-350477DiVA, id: diva2:1884260
Note

QC 20240715

Available from: 2024-07-15 Created: 2024-07-15 Last updated: 2024-07-22Bibliographically approved

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Shahgholian, Henrik

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