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Inverse Spectral Theory for Perturbed Torus. / Isozaki, Hiroshi; Korotyaev, Evgeny L.

в: Journal of Geometric Analysis, Том 30, № 4, 01.12.2020, стр. 4427-4452.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Isozaki, H & Korotyaev, EL 2020, 'Inverse Spectral Theory for Perturbed Torus', Journal of Geometric Analysis, Том. 30, № 4, стр. 4427-4452. https://doi.org/10.1007/s12220-019-00248-6

APA

Isozaki, H., & Korotyaev, E. L. (2020). Inverse Spectral Theory for Perturbed Torus. Journal of Geometric Analysis, 30(4), 4427-4452. https://doi.org/10.1007/s12220-019-00248-6

Vancouver

Isozaki H, Korotyaev EL. Inverse Spectral Theory for Perturbed Torus. Journal of Geometric Analysis. 2020 Дек. 1;30(4):4427-4452. https://doi.org/10.1007/s12220-019-00248-6

Author

Isozaki, Hiroshi ; Korotyaev, Evgeny L. / Inverse Spectral Theory for Perturbed Torus. в: Journal of Geometric Analysis. 2020 ; Том 30, № 4. стр. 4427-4452.

BibTeX

@article{73d51b1466a443c4ab2102422562e2ab,
title = "Inverse Spectral Theory for Perturbed Torus",
abstract = "We consider an inverse problem for Laplacians on rotationally symmetric manifolds, which are finite for the transversal direction and periodic with respect to the axis of the manifold, i.e., Laplacians on tori. We construct an infinite dimensional analytic isomorphism between the space of profiles (the radius of the rotation) of the torus and the spectral data as well as the stability estimates: those for the spectral data in terms of the profile and conversely, for the profile in term of the spectral data.",
keywords = "Inverse problem, Minkowski problem, Rotationally symmetric manifolds",
author = "Hiroshi Isozaki and Korotyaev, {Evgeny L.}",
note = "Funding Information: We thank Andrei Badanin for Fig. ( 1 ). Various parts of this paper were written during Evgeny L. Korotyaev{\textquoteright}s stay in the Mathematical Institute of University of Tsukuba, Japan. He is grateful to the institute for the hospitality. H. Isozaki is supported by Grants-in-Aid for Scientific Research (S) 15H05740, and (B) 16H03944, Japan Society for the Promotion of Science. E. L. Korotyaev is supported by the RSF Grant No. 18-11-00032.",
year = "2020",
month = dec,
day = "1",
doi = "10.1007/s12220-019-00248-6",
language = "English",
volume = "30",
pages = "4427--4452",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Inverse Spectral Theory for Perturbed Torus

AU - Isozaki, Hiroshi

AU - Korotyaev, Evgeny L.

N1 - Funding Information: We thank Andrei Badanin for Fig. ( 1 ). Various parts of this paper were written during Evgeny L. Korotyaev’s stay in the Mathematical Institute of University of Tsukuba, Japan. He is grateful to the institute for the hospitality. H. Isozaki is supported by Grants-in-Aid for Scientific Research (S) 15H05740, and (B) 16H03944, Japan Society for the Promotion of Science. E. L. Korotyaev is supported by the RSF Grant No. 18-11-00032.

PY - 2020/12/1

Y1 - 2020/12/1

N2 - We consider an inverse problem for Laplacians on rotationally symmetric manifolds, which are finite for the transversal direction and periodic with respect to the axis of the manifold, i.e., Laplacians on tori. We construct an infinite dimensional analytic isomorphism between the space of profiles (the radius of the rotation) of the torus and the spectral data as well as the stability estimates: those for the spectral data in terms of the profile and conversely, for the profile in term of the spectral data.

AB - We consider an inverse problem for Laplacians on rotationally symmetric manifolds, which are finite for the transversal direction and periodic with respect to the axis of the manifold, i.e., Laplacians on tori. We construct an infinite dimensional analytic isomorphism between the space of profiles (the radius of the rotation) of the torus and the spectral data as well as the stability estimates: those for the spectral data in terms of the profile and conversely, for the profile in term of the spectral data.

KW - Inverse problem

KW - Minkowski problem

KW - Rotationally symmetric manifolds

UR - http://www.scopus.com/inward/record.url?scp=85070112550&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/4dd5fcb8-cf6b-3d0a-969c-e7e161b8fc8a/

U2 - 10.1007/s12220-019-00248-6

DO - 10.1007/s12220-019-00248-6

M3 - Article

AN - SCOPUS:85070112550

VL - 30

SP - 4427

EP - 4452

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

SN - 1050-6926

IS - 4

ER -

ID: 46130715