Regularity of weak solutions to nonlinear Maxwell systems
Xing‐Bin Pan · Journal of Mathematical Physics · 2015
We examine regularity of weak solutions of several nonlinear Maxwell systems by using the reduction method. This method reduces the original system into two div-curl systems and an oblique derivative problem of a quasilinear elliptic equation and makes it possible to improve the regularity of the solutions by iteration. The reduction method is also used to show existence of classical solutions for a time-independent thermoelectrical model.