Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Yong-Gwan Ji"'
Autor:
Yong-Gwan Ji, Hyeonbae Kang
Publikováno v:
International Mathematics Research Notices. 2023:7638-7685
We investigate the field concentration for conductivity equations in the presence of closely located circular inclusions by exploiting the spectral nature residing behind the phenomenon of the field concentration. This approach enables us not only to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c63a9f14adbdba2fa344ecfd7d00124
https://doi.org/10.1093/imrn/rnac057
https://doi.org/10.1093/imrn/rnac057
Autor:
Yong-Gwan Ji, Hyeonbae Kang
Publikováno v:
International Mathematics Research Notices. 2023:6299-6300
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e97f172c66bff4ee44fdb73d9ad0e1a
https://doi.org/10.1093/imrn/rnad024
https://doi.org/10.1093/imrn/rnad024
Autor:
Yong-Gwan Ji, Hyeonbae Kang
Publikováno v:
Mathematische Annalen.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8cf834d8877786e2e19d9d508632bd5f
https://doi.org/10.1007/s00208-022-02482-w
https://doi.org/10.1007/s00208-022-02482-w
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 36:1817-1828
We address the question whether there is a three-dimensional bounded domain such that the Neumann--Poincar\'e operator defined on its boundary has infinitely many negative eigenvalues. It is proved in this paper that tori have such a property. It is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c162b4e11a6840d1256d39159e4b7dc2
https://doi.org/10.1016/j.anihpc.2019.05.002
https://doi.org/10.1016/j.anihpc.2019.05.002
Autor:
Hyeonbae Kang, Yong-Gwan Ji
Publikováno v:
Proceedings of the American Mathematical Society. 147:3431-3438
It is proved that if a bounded domain in three dimensions satisfies a certain concavity condition, then the Neumann-Poincaré operator on either the boundary of the domain or its inversion in a sphere has a negative value in its spectrum. The concavi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd7178a5d238f87d9ea3e0d7b8409a2b
https://doi.org/10.1090/proc/14467
https://doi.org/10.1090/proc/14467
Publikováno v:
Geometric Properties for Parabolic and Elliptic PDE's ISBN: 9783030733629
An inclusion is said to be neutral to uniform fields if upon insertion into a homogenous medium with a uniform field it does not perturb the uniform field at all. It is said to be weakly neutral if it perturbs the uniform field mildly. Such inclusion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7fe43d5f9aa6fb7f38dca95f44f005c
https://doi.org/10.1007/978-3-030-73363-6_8
https://doi.org/10.1007/978-3-030-73363-6_8
Publikováno v:
European Journal of Applied Mathematics. 29:189-225
We first investigate spectral properties of the Neumann–Poincaré (NP) operator for the Lamé system of elasto-statics. We show that the elasto-static NP operator can be symmetrized in the same way as that for the Laplace operator. We then show tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c433de7facbcda1e3a7cb066463c13c
https://doi.org/10.1017/s0956792517000080
https://doi.org/10.1017/s0956792517000080
Autor:
YONG-GWAN JI, HYEONBAE KANG
Publikováno v:
Proceedings of the American Mathematical Society; Aug2019, Vol. 147 Issue 8, p3431-3438, 8p