We study the system curl (a(x) curl u) = 0, div u = 0 with a bounded measurable coefficient a(x). The main result of this paper is the Hölder continuity of weak solutions of the system above. As an application, we prove the Cα regularity of weak solutions of the Maxwell's equations in a quasi-stationary electromagnetic field.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics