On Positivity Sets for Helmholtz Solutions

Kow, Pu-Zhao; Salo, Mikko; Shahgholian, Henrik

doi:10.1007/s10013-023-00646-y

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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

Julkaistu sarjassa

Vietnam Journal of Mathematics

Tekijät

Kow, Pu-Zhao |

Salo, Mikko |

Shahgholian, Henrik

Päivämäärä

2023

Oppiaine

Matematiikka Inversio-ongelmien huippuyksikkö Mathematics Centre of Excellence in Inverse Problems

Tekijänoikeudet

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.

Julkaisija

Springer

ISSN Hae Julkaisufoorumista

2305-221X

Rahoittaja(t)

Euroopan komissio; Suomen Akatemia

Rahoitusohjelmat(t)

Huippuyksikkörahoitus, SA

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.

Lisätietoja rahoituksesta

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.

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Ellei muuten mainita, aineiston lisenssi on CC BY 4.0