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On Positivity Sets for Helmholtz Solutions
Department of Mathematical Sciences, National Chengchi University, No. 64, Sec. 2, ZhiNan Rd., Wenshan District, 16302, Taipei, Taiwan, No. 64, Sec. 2, ZhiNan Rd., Wenshan District.
Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), FI-40014, Jyväskylä, Finland, P.O. Box 35 (MaD).
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).ORCID-id: 0000-0002-1316-7913
2023 (engelsk)Inngår i: Vietnam Journal of Mathematics, ISSN 2305-221X, E-ISSN 2305-2228, Vol. 51, nr 4, s. 985-994Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We address the question of finding global solutions of the Helmholtz equation that are positive in a given set. This question arises in inverse scattering for penetrable obstacles. In particular, we show that there are solutions that are positive on the boundary of a bounded Lipschitz domain.
sted, utgiver, år, opplag, sider
Springer Nature , 2023. Vol. 51, nr 4, s. 985-994
Emneord [en]
Acoustic equation, Helmholtz equation, Inverse scattering problem, Lipschitz domain
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Identifikatorer
URN: urn:nbn:se:kth:diva-349871DOI: 10.1007/s10013-023-00646-yScopus ID: 2-s2.0-85169165799OAI: oai:DiVA.org:kth-349871DiVA, id: diva2:1882121
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QC 20240704

Tilgjengelig fra: 2024-07-04 Laget: 2024-07-04 Sist oppdatert: 2024-07-04bibliografisk kontrollert

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