Equations of Maxwell type
- For an elliptic complex of first order differential operators on a smooth manifold X, we define a system of two equations which can be thought of as abstract Maxwell equations. The formal theory of this system proves to be very similar to that of classical Maxwell's equations. The paper focuses on boundary value problems for the abstract Maxwell equations, especially on the Cauchy problem.
| Author details: | K. O. Makhmudo, O. I. Makhmudov, Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1016/j.jmaa.2011.01.012 |
| ISSN: | 0022-247X |
| Title of parent work (English): | Journal of mathematical analysis and applications |
| Publisher: | Elsevier |
| Place of publishing: | San Diego |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2011 |
| Publication year: | 2011 |
| Release date: | 2017/03/26 |
| Tag: | Cauchy problem; Electromagnetic waves; Elliptic complex; Green formulas; Scattering; Stratton-Chu formulas |
| Volume: | 378 |
| Issue: | 1 |
| Number of pages: | 12 |
| First page: | 64 |
| Last Page: | 75 |
| Funding institution: | Deutscher Akademischer Austauschdienst |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
