Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling

Ru-Yu Lai; Qin Li; Gunther Uhlmann

doi:10.1137/18m1207582

Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling

SIAM Journal on Applied Mathematics ◽

10.1137/18m1207582 ◽

2019 ◽

Vol 79 (6) ◽

pp. 2340-2358 ◽

Cited By ~ 2

Author(s):

Ru-Yu Lai ◽

Qin Li ◽

Gunther Uhlmann

Keyword(s):

Inverse Problems ◽

Transport Equation ◽

Stationary Transport Equation

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Chapter 5. Stability estimates related to inverse problems for the transport equation

Investigation Methods for Inverse Problems ◽

10.1515/9783110943849.175 ◽

2014 ◽

Keyword(s):

Inverse Problems ◽

Transport Equation ◽

Stability Estimates

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The convergence and stability of a difference scheme for the solution of a multidimensional non-stationary transport equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(85)90160-0 ◽

1985 ◽

Vol 25 (4) ◽

pp. 157-162

Author(s):

V.V. Kulinich ◽

S.F. Morozov

Keyword(s):

Difference Scheme ◽

Transport Equation ◽

Convergence And Stability ◽

Stationary Transport Equation

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Solvability of certain inverse problems for the nonstationary kinetic transport equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542516090153 ◽

2016 ◽

Vol 56 (9) ◽

pp. 1598-1603 ◽

Cited By ~ 3

Author(s):

N. P. Volkov

Keyword(s):

Inverse Problems ◽

Transport Equation

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Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.01.071 ◽

2008 ◽

Vol 343 (1) ◽

pp. 352-365 ◽

Cited By ~ 14

Author(s):

Michael V. Klibanov ◽

Sergey E. Pamyatnykh

Keyword(s):

Inverse Problem ◽

Transport Equation ◽

Carleman Estimate ◽

Coefficient Inverse Problem ◽

Global Uniqueness ◽

Stationary Transport Equation

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An inverse problem of determining a source in the stationary transport equation for a medium with refraction

Siberian Mathematical Journal ◽

10.1007/bf02106628 ◽

1994 ◽

Vol 35 (4) ◽

pp. 835-843 ◽

Cited By ~ 3

Author(s):

V. A. Sharafutdinov

Keyword(s):

Inverse Problem ◽

Transport Equation ◽

Stationary Transport Equation

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The asymptotic of the non-stationary transport equation with anisotropic dispersion

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(70)90097-2 ◽

1970 ◽

Vol 10 (1) ◽

pp. 340-346

Author(s):

A.Kh. Rakhmatulina

Keyword(s):

Transport Equation ◽

Stationary Transport Equation ◽

Anisotropic Dispersion

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A solution of the stationary transport equation in plane geometry

Meccanica ◽

10.1007/bf02128347 ◽

1983 ◽

Vol 18 (2) ◽

pp. 71-76

Author(s):

Laura Bassi ◽

Annalisa De Vito

Keyword(s):

Transport Equation ◽

Plane Geometry ◽

Stationary Transport Equation

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The method of straight lines for solving the non-stationary transport equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(68)90094-3 ◽

1968 ◽

Vol 8 (6) ◽

pp. 76-93

Author(s):

S.F. Morozov ◽

L.V. Puskunova

Keyword(s):

Transport Equation ◽

Stationary Transport Equation ◽

Method Of Straight Lines ◽

Straight Lines

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On some inverse problems for a nonlinear transport equation

Inverse Problems ◽

10.1088/0266-5611/13/2/006 ◽

1997 ◽

Vol 13 (2) ◽

pp. 283-295 ◽

Cited By ~ 9

Author(s):

T John Connolly ◽

David J N Wall

Keyword(s):

Inverse Problems ◽

Transport Equation ◽

Nonlinear Transport ◽

Nonlinear Transport Equation

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Global Uniqueness for a Coefficient Inverse Problem for the Non-Stationary Transport Equation via Carleman Estimate

10.21236/ada448486 ◽

2006 ◽

Author(s):

Michael V. Klibanov ◽

Sergey E. Pamyatnykh

Keyword(s):

Inverse Problem ◽

Transport Equation ◽

Carleman Estimate ◽

Coefficient Inverse Problem ◽

Global Uniqueness ◽

Stationary Transport Equation

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