Remarks on boundary value problems for hyperbolic equations
Remarks on boundary value problems for hyperbolic equations
\S 1. Introduction and results Let R_{+}^{n+1} be the open half space \{x=(x', x_{n});x'=(x_{0}, x_{1}, \cdots, x_{n-1})\in R^{n} , x_{n}>0\} .We shall consider the boundary value problem (P, B_{f}) in R_{+}^{n+1} :on R^{n} , j=1 , \cdots , l , where D=(D_{0}, D_{1}, \cdots, D_{n-1}, D_{n}) , D_{k}= \frac{1}{i}\frac{\partial}{\partial x_{k}} …