Geodesic
A minimization problem with free boundary and its application to inverse scattering problems
Pu-Zhao Kow1 orcid ; Mikko Salo2 orcid ; Henrik Shahgholian3 orcid
1National Chengchi University, Taipei, Taiwan
2University of Jyväskylä, Jyväskylä, Finland
3KTH Royal Institute of Technology, Stockholm, Sweden
Interfaces and free boundaries, Tome 26 (2024) no. 3, pp. 415-471

Voir la notice de l'article provenant de la source EMS Press

DOI

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.
DOI : 10.4171/ifb/515
Classification : 35R35, 35J05, 35J15, 35J20, 35R30
Mots-clés : quadrature domain, inverse scattering problem, Helmholtz equation, acoustic equation, free boundary

Pu-Zhao Kow  1   ; Mikko Salo  2   ; Henrik Shahgholian  3

1 National Chengchi University, Taipei, Taiwan
2 University of Jyväskylä, Jyväskylä, Finland
3 KTH Royal Institute of Technology, Stockholm, Sweden 
Pu-Zhao Kow; Mikko Salo; Henrik Shahgholian. A minimization problem with free boundary and its application to inverse scattering problems. Interfaces and free boundaries, Tome 26 (2024) no. 3, pp. 415-471. doi: 10.4171/ifb/515
@article{10_4171_ifb_515,
     author = {Pu-Zhao Kow and Mikko Salo and Henrik Shahgholian},
     title = {A minimization problem with free boundary and its application to inverse scattering problems},
     journal = {Interfaces and free boundaries},
     pages = {415--471},
     year = {2024},
     volume = {26},
     number = {3},
     doi = {10.4171/ifb/515},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/515/}
}
TY  - JOUR
AU  - Pu-Zhao Kow
AU  - Mikko Salo
AU  - Henrik Shahgholian
TI  - A minimization problem with free boundary and its application to inverse scattering problems
JO  - Interfaces and free boundaries
PY  - 2024
SP  - 415
EP  - 471
VL  - 26
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/515/
DO  - 10.4171/ifb/515
ID  - 10_4171_ifb_515
ER  - 
%0 Journal Article
%A Pu-Zhao Kow
%A Mikko Salo
%A Henrik Shahgholian
%T A minimization problem with free boundary and its application to inverse scattering problems
%J Interfaces and free boundaries
%D 2024
%P 415-471
%V 26
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/515/
%R 10.4171/ifb/515
%F 10_4171_ifb_515

Cité par Sources :