  We prove the local well-posedness for a two phase problem of
magnetohydrodynamics with a sharp interface. The solution is obtained in the
maximal regularity space: $H^1_p((0, T), L_q) \cap L_p((0, T), H^2_q)$ with $1
< p, q < \infty$ and 2/p + N/q < 1$, where $N$ is the space dimension
