Abstract
An inverse problem for electrodynamic equations is considered. It is assumed that the electric current depends nonlinearly of the electric tension. This dependence is determined by seven finite functions of space variables. A direct problem for electrodynamic equations with a running plane wave going in direction ν from infinity is stated.
Then traces of solutions of this direct problem on some bounded surface in
Funding statement: This work was carried out within the framework of the state assignment for Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, project no. FWNF-2022-0009.
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Articles in the same Issue
- Frontmatter
- An inverse problem of finding a time-dependent parameter in a bilinear heat equation
- A novel method for computing core-EP inverse through elementary transformation
- Convergence rates for Tikhonov regularization of a coefficient identification problem
- Carleman estimate for stochastic degenerate wave equation with drift and its application
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- Understanding edge artifacts of the OSEM algorithm in emission tomography
- Unique reconstruction of the inverse spectral problem with mixed data for AKNS operator
- An inverse problem for nonlinear electrodynamic equations