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Inverse spectral theory and the Minkowski problem for the surface of revolution. / Isozaki, Hiroshi; Korotyaev, Evgeny L.

In: Dynamics of Partial Differential Equations, Vol. 14, No. 4, 01.01.2017, p. 321-341.

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Harvard

Isozaki, H & Korotyaev, EL 2017, 'Inverse spectral theory and the Minkowski problem for the surface of revolution', Dynamics of Partial Differential Equations, vol. 14, no. 4, pp. 321-341. https://doi.org/10.4310/DPDE.2017.v14.n4.a1

APA

Vancouver

Author

Isozaki, Hiroshi ; Korotyaev, Evgeny L. / Inverse spectral theory and the Minkowski problem for the surface of revolution. In: Dynamics of Partial Differential Equations. 2017 ; Vol. 14, No. 4. pp. 321-341.

BibTeX

@article{70f4c735100346dba6f29bea863c1a9c,
title = "Inverse spectral theory and the Minkowski problem for the surface of revolution",
abstract = "We solve the inverse spectral problem for rotationally symmetric manifolds, which include a class of surfaces of revolution, by giving an analytic isomorphism from the space of spectral data onto the space of functions describing the radius of rotation. An analogue of the Minkowski problem is also solved.",
keywords = "Inverse problem, Rotationally symmetric manifolds",
author = "Hiroshi Isozaki and Korotyaev, {Evgeny L.}",
year = "2017",
month = jan,
day = "1",
doi = "10.4310/DPDE.2017.v14.n4.a1",
language = "English",
volume = "14",
pages = "321--341",
journal = "Dynamics of Partial Differential Equations",
issn = "1548-159X",
publisher = "International Press of Boston, Inc.",
number = "4",

}

RIS

TY - JOUR

T1 - Inverse spectral theory and the Minkowski problem for the surface of revolution

AU - Isozaki, Hiroshi

AU - Korotyaev, Evgeny L.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We solve the inverse spectral problem for rotationally symmetric manifolds, which include a class of surfaces of revolution, by giving an analytic isomorphism from the space of spectral data onto the space of functions describing the radius of rotation. An analogue of the Minkowski problem is also solved.

AB - We solve the inverse spectral problem for rotationally symmetric manifolds, which include a class of surfaces of revolution, by giving an analytic isomorphism from the space of spectral data onto the space of functions describing the radius of rotation. An analogue of the Minkowski problem is also solved.

KW - Inverse problem

KW - Rotationally symmetric manifolds

UR - http://www.scopus.com/inward/record.url?scp=85042207488&partnerID=8YFLogxK

U2 - 10.4310/DPDE.2017.v14.n4.a1

DO - 10.4310/DPDE.2017.v14.n4.a1

M3 - Article

AN - SCOPUS:85042207488

VL - 14

SP - 321

EP - 341

JO - Dynamics of Partial Differential Equations

JF - Dynamics of Partial Differential Equations

SN - 1548-159X

IS - 4

ER -

ID: 35631321