Uniqueness in an integral geometry problem and an inverse problem for the kinetic equation

Applicable Analysis ◽

10.1080/00036811.2016.1213387 ◽

2016 ◽

Vol 96 (13) ◽

pp. 2236-2249

Author(s):

Arif Amirov ◽

Fikret Gölgeleyen ◽

Masahiro Yamamoto

Keyword(s):

Inverse Problem ◽

Kinetic Equation ◽

Integral Geometry ◽

Geometry Problem ◽

Integral Geometry Problem

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The integral geometry problem for a family of cones in then-dimensional space

Siberian Mathematical Journal ◽

10.1007/bf02104844 ◽

1996 ◽

Vol 37 (3) ◽

pp. 430-435 ◽

Author(s):

Akram Kh. Begmatov

Keyword(s):

Integral Geometry ◽

Dimensional Space ◽

Geometry Problem ◽

Integral Geometry Problem

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On the stability estimation of finite-difference analogue of the integral geometry problem with a weight function

10.1063/1.5049058 ◽

2018 ◽

Author(s):

Galitdin B. Bakanov

Keyword(s):

Finite Difference ◽

Weight Function ◽

Integral Geometry ◽

Stability Estimation ◽

Difference Analogue ◽

Geometry Problem ◽

Integral Geometry Problem ◽

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The indicator of contact boundaries for an integral geometry problem

Siberian Mathematical Journal ◽

10.1007/s11202-008-0056-2 ◽

2008 ◽

Vol 49 (4) ◽

pp. 587-600 ◽

Author(s):

D. S. Anikonov

Keyword(s):

Integral Geometry ◽

Geometry Problem ◽

Integral Geometry Problem ◽

Contact Boundaries

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Integral geometry problem with incomplete data for tensor fields in a complex space

Radon Transforms and Tomography - Contemporary Mathematics ◽

10.1090/conm/278/04609 ◽

2001 ◽

pp. 255-261

Author(s):

L. B. Vertgeim

Keyword(s):

Integral Geometry ◽

Incomplete Data ◽

Complex Space ◽

Tensor Fields ◽

Geometry Problem ◽

Integral Geometry Problem

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On the stability estimation of differential-difference analogue of the integral geometry problem with a weight function

10.1063/1.4959681 ◽

2016 ◽

Author(s):

Galitdin B. Bakanov

Keyword(s):

Weight Function ◽

Integral Geometry ◽

Stability Estimation ◽

Difference Analogue ◽

Geometry Problem ◽

Integral Geometry Problem ◽

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Stability and uniqueness for an integral geometry problem with a weight function

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.04.001 ◽

2015 ◽

Vol 428 (2) ◽

pp. 1309-1318

Author(s):

Zekeriya Ustaoglu

Keyword(s):

Weight Function ◽

Integral Geometry ◽

Geometry Problem ◽

Integral Geometry Problem

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Solvability of the integral geometry problem for geodesics

Siberian Mathematical Journal ◽

10.1007/bf00970945 ◽

1992 ◽

Vol 34 (2) ◽

pp. 199-209 ◽

Author(s):

A. Kh. Amirov

Keyword(s):

Integral Geometry ◽

Geometry Problem ◽

Integral Geometry Problem

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Investigation of Finite-Difference Analogue of the Integral Geometry Problem with a Weight Function

Springer Proceedings in Mathematics & Statistics - Functional Analysis in Interdisciplinary Applications—II ◽

10.1007/978-3-030-69292-6_2 ◽

2021 ◽

pp. 29-38

Author(s):

Galitdin B. Bakanov

Keyword(s):

Finite Difference ◽

Weight Function ◽

Integral Geometry ◽

Difference Analogue ◽

Geometry Problem ◽

Integral Geometry Problem

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Stability of a solution to an integral geometry problem in Sobolev norms

Siberian Mathematical Journal ◽

10.1007/bf02674105 ◽

2000 ◽

Vol 41 (3) ◽

pp. 497-508 ◽

Author(s):

P. L. Komarov

Keyword(s):

Integral Geometry ◽

Sobolev Norms ◽

Stability Of A Solution ◽

Geometry Problem ◽

Integral Geometry Problem

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Solution of the Integral Geometry Problem for 2-Tensor Fields by the Singular Value Decomposition Method

Journal of Mathematical Sciences ◽

10.1007/s10958-014-2033-6 ◽

2014 ◽

Vol 202 (1) ◽

pp. 50-71 ◽

Author(s):

E. Yu. Derevtsov ◽

A. P. Polyakova

Keyword(s):

Singular Value Decomposition ◽

Integral Geometry ◽

Decomposition Method ◽

Singular Value ◽

Tensor Fields ◽

Singular Value Decomposition Method ◽

Geometry Problem ◽

Integral Geometry Problem ◽

Value Decomposition

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