Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902133 | Journal of Computational and Applied Mathematics | 2018 | 24 Pages |
Abstract
Hyperbolic Maxwell's equation with an unknown time dependent source is investigated. We consider a nonlinear generalized Ohm's law in our model. The source is reconstructed from a single boundary measurement over a part of the boundary. We use well-known Rothe's method to show the existence of a solution. In the case of regular solution, we provide a uniqueness proof as well. To support theoretical results a numerical experiment is provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jaroslav Chovan, Marián SlodiÄka,