A Global Uniqueness Theorem for an Inverse Boundary Value Problem

John Sylvester; Gunther Uhlmann

doi:10.2307/1971291

A Global Uniqueness Theorem for an Inverse Boundary Value Problem

Annals of Mathematics ◽

10.2307/1971291 ◽

1987 ◽

Vol 125 (1) ◽

pp. 153 ◽

Cited By ~ 730

Author(s):

John Sylvester ◽

Gunther Uhlmann

Keyword(s):

Boundary Value Problem ◽

Uniqueness Theorem ◽

Boundary Value ◽

Inverse Boundary ◽

Global Uniqueness ◽

Inverse Boundary Value Problem

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A uniqueness theorem for an inverse boundary value problem in electrical prospection

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160390106 ◽

1986 ◽

Vol 39 (1) ◽

pp. 91-112 ◽

Cited By ~ 135

Author(s):

John Sylvester ◽

Gunther Uhlmann

Keyword(s):

Boundary Value Problem ◽

Uniqueness Theorem ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem

Annals of Mathematics ◽

10.2307/2118653 ◽

1996 ◽

Vol 143 (1) ◽

pp. 71 ◽

Cited By ~ 379

Author(s):

Adrian I. Nachman

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Two Dimensional ◽

Inverse Boundary ◽

Global Uniqueness ◽

Inverse Boundary Value Problem

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A uniqueness theorem for an inverse boundary value problem in two dimensions

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00085-9 ◽

2002 ◽

Vol 270 (1) ◽

pp. 291-302 ◽

Cited By ~ 5

Author(s):

Hyeonbae Kang

Keyword(s):

Boundary Value Problem ◽

Uniqueness Theorem ◽

Boundary Value ◽

Two Dimensions ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Global uniqueness for an inverse boundary value problem arising in elasticity

Inventiones mathematicae ◽

10.1007/s00222-002-0276-1 ◽

2003 ◽

Vol 152 (1) ◽

pp. 205-207 ◽

Cited By ~ 32

Author(s):

Gen Nakamura ◽

Gunther Uhlmann

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Inverse Boundary ◽

Global Uniqueness ◽

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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