On well posedness of mixed problems for Maxwell's equations II

Regularity of solutions to hyperbolic mixed problems with uniformly characteristic boundary

“…1) that (1. 4) |||u(t)|||_{p,\gamma}^{2} \simeq\sum_{j+k\leq p}|\Lambda_{\gamma}^{p-j-k}D_{t}^{j}D_{n}^{k}u(t)|_{0}^{2} ,…”

“…4) give |||f_{I}(t)|||_{p-1,\gamma}^{2} \leq C(|||f_{I}(t_{1})|||_{p-1,\gamma}^{2}+\gamma^{-1}\int_{t_{1}}^{t}e^{\gamma(t-s)}|||f_{I}(s)|||_{p,\gamma}^{2}ds) .…”