An inverse source problem for Maxwell's equations in anisotropic media

DOI number:10.1080/00036810500047725

Journal:Applicable Analysis

Key Words:Maxwell's equations; Anisotropic; Carleman estimate; Inverse source problem

Abstract:In this article, we consider nonstationary Maxwell's equations in an anisotropic medium in the (x1, x2, x3)-space, where equations of the divergences of electric and magnetic flux densities are also unknown. Then we discuss an inverse problem of determining the x3-independent components of the electric current density from observations on the plane x3 = 0 over a time interval. Our main aim is, study conditional stability in the inverse problem provided the permittivity and the permeability are independent of x3. The main tool is a new Carleman estimate.

Co-author:Shumin Li,Masahiro Yamamoto

Indexed by:Journal paper

Discipline:Natural Science

Document Type:J

Volume:84

Issue:10

Page Number:1051-1067

ISSN No.:0003-6811

Translation or Not:no

Date of Publication:2005-10-01

Links to published journals:https://www.tandfonline.com/doi/full/10.1080/00036810500047725