Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media

In the current paper we consider an inverse boundary value problem of electromagnetism in a nonlinear Kerr medium. We show the unique determination of the electromagnetic material parameters and the nonlinear susceptibility parameters of the medium by making electromagnetic measurements on the bound...

Full description

Saved in:
Bibliographic Details
Published inJournal of spectral theory Vol. 11; no. 1; pp. 1 - 38
Main Authors Assylbekov, Yernat M., Zhou, Ting
Format Journal Article
LanguageEnglish
Published European Mathematical Society Publishing House 01.01.2021
Subjects
Boundary value problems
Differential equations, Nonlinear
Mathematical research
Maxwell equations
United States
Online AccessGet full text
ISSN1664-039X
1664-0403
DOI10.4171/jst/334

Cover

More Information
Summary:In the current paper we consider an inverse boundary value problem of electromagnetism in a nonlinear Kerr medium. We show the unique determination of the electromagnetic material parameters and the nonlinear susceptibility parameters of the medium by making electromagnetic measurements on the boundary. We are interested in the case of the time-harmonic Maxwell equations.
ISSN:1664-039X
1664-0403
DOI:10.4171/jst/334