A UNIQUENESS THEOREM FOR INVERSE PROBLEMS IN QUASILINEAR ANISOTROPIC MEDIA

被引：0

作者：

Kholil, Md Ibrahim ^{[1
]}

Sun, Ziqi ^{[1
]}

机构：

[1] Wichita State Univ, Dept Math Stat & Phys, Wichita, KS 67260 USA

来源：

INVERSE PROBLEMS AND IMAGING | 2022年

关键词：

Quasilinear; Dirichlet to Neumann map; elliptic equation; lineariza; tion; conformal diffeomorphism; GLOBAL UNIQUENESS;

D O I：

10.3934/ipi.2022008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the question of whether one can uniquely determine a scalar quasilinear conductivity in an anisotropic medium by making voltage and current measurements at the boundary. This paper is dedicated to the memory of Professor Victor Isakov, who has made enormous contribution to the theory of inverse problem.

引用

页数：7

共 50 条

[1] A UNIQUENESS THEOREM FOR INVERSE PROBLEMS IN QUASILINEAR ANISOTROPIC MEDIA II
Kholil, Md Ibrahim
Sun, Ziqi
[J]. INVERSE PROBLEMS AND IMAGING, 2023, : 104 - 112
[2] Inverse problems in quasilinear anisotropic media
Sun, ZQ
Uhlmann, G
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1997, 119 (04) : 771 - 797
[3] Partial Uniqueness and Obstruction to Uniqueness in Inverse Problems for Anisotropic Elastic Media
Anna L. Mazzucato
Lizabeth V. Rachele
[J]. Journal of Elasticity, 2006, 83 : 205 - 245
[4] Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media
Mazzucato, Anna L.
Rachele, Lizabeth V.
[J]. JOURNAL OF ELASTICITY, 2006, 83 (03) : 205 - 245
[5] A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media
Cakoni, F
Colton, D
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2003, 46 : 293 - 314
[6] Uniqueness theorem and uniqueness of inverse problems for lossy anisotropic inhomogeneous structures with diagonal material tensors
Dehbashi, Reza
Bialkowski, Konstanty S.
Abbosh, Amin M.
[J]. JOURNAL OF APPLIED PHYSICS, 2017, 121 (20)
[7] Anisotropic inverse problems for quasilinear elliptic equations
Sun, ZQ
[J]. SECOND INTERNATIONAL CONFERENCE ON INVERSE PROBLEMS: RECENT THEORETICAL DEVELOPMENTS AND NUMERICAL APPROACHES, 2004, 2005, 12 : 156 - 164
[8] Uniqueness theorem for inverse problems of spectral analysis
Dubrovskii, VV
[J]. DIFFERENTIAL EQUATIONS, 1997, 33 (03) : 423 - 425
[9] On uniqueness for anisotropic inhomogeneous inverse scattering problems
Piana, M
[J]. INVERSE PROBLEMS, 1998, 14 (06) : 1565 - 1579
[10] Uniqueness in an inverse problem for anisotropic elastic media: an announcement
Rachele, LV
[J]. FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, 2000, : 687 - 692

← 1 2 3 4 5 →