On Positivity Sets for Helmholtz Solutions
Kow, P.-Z., Salo, M., & Shahgholian, H. (2023). On Positivity Sets for Helmholtz Solutions. Vietnam Journal of Mathematics, 51(4), 985-994. https://doi.org/10.1007/s10013-023-00646-y
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Vietnam Journal of MathematicsDate
2023Discipline
MatematiikkaInversio-ongelmien huippuyksikköMathematicsCentre of Excellence in Inverse ProblemsCopyright
© 2023 the Authors
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.
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SpringerISSN Search the Publication Forum
2305-221XKeywords
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https://converis.jyu.fi/converis/portal/detail/Publication/184653719
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Related funder(s)
European Commission; Research Council of FinlandFunding program(s)
ERC Consolidator Grant; Centre of Excellence, AoF
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Additional information about funding
This project was finalized while the authors stayed at Institute Mittag Leffler (Sweden), during the program Geometric aspects of nonlinear PDE. Kow and Salo were partly supported by the Academy of Finland (Centre of Excellence in Inverse Modelling and Imaging, 312121) and by the European Research Council under Horizon 2020 (ERC CoG 770924). Shahgholian was supported by Swedish Research Council.License
Except where otherwise noted, this item's license is described as CC BY 4.0