Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain

Cătălin I. Cârstea; Gen Nakamura; Lauri Oksanen

doi:10.1090/tran/8014

Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain

Transactions of the American Mathematical Society ◽

10.1090/tran/8014 ◽

2020 ◽

Vol 373 (5) ◽

pp. 3423-3443

Author(s):

Cătălin I. Cârstea ◽

Gen Nakamura ◽

Lauri Oksanen

Keyword(s):

Boundary Value Problem ◽

Time Domain ◽

Boundary Value ◽

Anisotropic Elasticity ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

The Time Domain

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Uniqueness in the Inverse Boundary Value Problem for Piecewise Homogeneous Anisotropic Elasticity

SIAM Journal on Mathematical Analysis ◽

10.1137/17m1125662 ◽

2018 ◽

Vol 50 (3) ◽

pp. 3291-3302 ◽

Cited By ~ 1

Author(s):

Cătălin I. Cârstea ◽

Naofumi Honda ◽

Gen Nakamura

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Anisotropic Elasticity ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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The design of cavitation-free hydroprofiles based on the solution of a mixed inverse boundary-value problem

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(94)90029-9 ◽

1994 ◽

Vol 58 (1) ◽

pp. 59-66

Author(s):

N.B. Il'inskii ◽

D.A. Fokin

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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A probe method for the inverse boundary value problem of non-stationary heat equations

Inverse Problems ◽

10.1088/0266-5611/23/5/002 ◽

2007 ◽

Vol 23 (5) ◽

pp. 1787-1800 ◽

Cited By ~ 17

Author(s):

Yuki Daido ◽

Hyeonbae Kang ◽

Gen Nakamura

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Probe Method ◽

Heat Equations ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Stationary Heat

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Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator

Boundary Value Problems ◽

10.1186/s13661-014-0194-3 ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 5

Author(s):

Khanlar R Mamedov ◽

F Ayca Cetinkaya

Keyword(s):

Boundary Value Problem ◽

Liouville Operator ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Sturm Liouville

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A numerical solution of an inverse boundary value problem of heat conduction using the Volterra equations of the first kind

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20150307 ◽

2015 ◽

Vol 18 (3) ◽

Cited By ~ 1

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Numerical Solution ◽

Boundary Value ◽

Volterra Equations ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity

Inverse Problems & Imaging ◽

10.3934/ipi.2019057 ◽

2019 ◽

Vol 13 (6) ◽

pp. 1309-1325

Author(s):

Yang Yang ◽

◽

Jian Zhai ◽

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Transversely Isotropic ◽

Unique Determination ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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A Study of an Inverse Boundary Value Problem for the Heat Conduction Equation

Numerical Analysis and Applications ◽

10.1134/s1995423919010063 ◽

2019 ◽

Vol 12 (1) ◽

pp. 70-86 ◽

Cited By ~ 1

Author(s):

A. I. Sidikova

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Generic uniqueness for an inverse boundary value problem

Duke Mathematical Journal ◽

10.1215/s0012-7094-91-06206-x ◽

1991 ◽

Vol 62 (1) ◽

pp. 131-155 ◽

Cited By ~ 38

Author(s):

Ziqi Sun ◽

Gunther Uhlmann

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Generic Uniqueness

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Solution method for the inverse boundary-value problem for the wave equation

Computational Mathematics and Modeling ◽

10.1007/bf01129061 ◽

1990 ◽

Vol 1 (2) ◽

pp. 180-185

Author(s):

A. V. Baev

Keyword(s):

Wave Equation ◽

Boundary Value Problem ◽

Solution Method ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Mathematical Structure of Numerical Analysis and Regularization of an Inverse Boundary Value Problem in Laplace Field.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.61.169 ◽

1995 ◽

Vol 61 (581) ◽

pp. 169-176 ◽

Cited By ~ 4

Author(s):

Shiro Kubo ◽

Shinjiro Kuwayama ◽

Kiyotsugu Ohji

Keyword(s):

Numerical Analysis ◽

Boundary Value Problem ◽

Boundary Value ◽

Mathematical Structure ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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