kth.sePublications
EnglishSvenskaNorsk
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena
Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), FI-40014, Jyväskylä, Finland, P.O. Box 35 (MaD).
Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, SE-412 96, Göteborg, Sweden.
Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), FI-40014, Jyväskylä, Finland, P.O. Box 35 (MaD).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-1316-7913
2022 (English)In: Potential Analysis, ISSN 0926-2601, E-ISSN 1572-929XArticle in journal (Refereed) Published
Abstract [en]

In this paper, we introduce quadrature domains for the Helmholtz equation. We show existence results for such domains and implement the so-called partial balayage procedure. We also give an application to inverse scattering problems, and show that there are non-scattering domains for the Helmholtz equation at any positive frequency that have inward cusps.
Place, publisher, year, edition, pages
Springer Nature , 2022.
Keywords [en]
Acoustic equation, Helmholtz equation, Mean value theorem, Metaharmonic functions, Non-scattering phenomena, Partial balayage, Quadrature domain
National Category
Computational Mathematics Algebra and Logic Mathematical Analysis
Identifiers
URN: urn:nbn:se:kth:diva-335758DOI: 10.1007/s11118-022-10054-5ISI: 000905599200001Scopus ID: 2-s2.0-85145025295OAI: oai:DiVA.org:kth-335758DiVA, id: diva2:1795806
Note

QC 20230911

Available from: 2023-09-11 Created: 2023-09-11 Last updated: 2023-09-11Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Shahgholian, Henrik

Search in DiVA

By author/editor
Shahgholian, Henrik
By organisation
Mathematics (Div.)
In the same journal
Potential Analysis
Computational MathematicsAlgebra and LogicMathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 35 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
v. 2.46.0
|
WCAG
|
KTH Library
|
DiVA support
|
Register in DiVA
|
Posting your thesis
|
SwePub