An inverse boundary value problem for the Maxwell's equations with partial data
Abstract
We consider an inverse boundary problem for the dynamical Maxwell's equations. We show that the electric permittivity, conductivity, and magnetic permeability can be uniquely determined locally if there is a strictly convex foliation with respect to the wave speed.
Fields of Study & Subjects
Numerical methods in inverse problems
Stability and Controllability of Differential Equations
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Inverse Problems and Imaging
- Volume
- 0
- Issue
- 0
- Publication date
- 1 January 2026
- Language
- EN