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The Calderón problem for quasilinear conductivities of conformally transversally anisotropic media

delete2026-03-31
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PRE
AI
C
Chen, Xi *
J
Jin, Ziyun
DOI：10.1088/1361-6420/ae45c8delete
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Abstract

Abstract

En 中文
This paper investigates Calder & oacute;n's problem on a conformally transversally anisotropic manifold (M, g) of dimension n >= 3, where the conductivity a(s,x,p) might depend on both the electric potential and the electric field. We establish that for all (t,x)is an element of R & times;M and beta is an element of N1+n the derivatives partial derivative(s,p)beta a(s,x,p)|(s,p)=(t,0) are uniquely determined by the boundary voltage-current measurements. If a(s,x,p) is analytic in p, then a(s,x,p) can be uniquely recovered.
Keywords:
Calder & oacute
n's problem
anisotropic conductivities
quasilinear elliptic equations

Journal

I
Inverse Problems
IF:
2.1
Papers:
78
Citations:
8.4K

Organization

F
fudan university
Scholars:
11.3W
Papers: 7.6W
Citations: 121
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