On a parametrix for the hyperbolic mixed problem with diffractive lateral boundary
On a parametrix for the hyperbolic mixed problem with diffractive lateral boundary
\S 1. Introduction and results.Let $\Omega$ be adomain of the closed half space $R_{+}^{\overline{n+1}}=\{x;x=(x, x_{n})$ , $d$ $=$ $(x_{0}, \cdots, x_{n-1})$ , $x_{n}\geqq 0\}$ containing aneighborhood of apoint $x^{0'}=(0, x_{1}^{0}, \cdots, x_{n-1}^{0})$ in its lateral boundary $\Gamma=\{x;x\in\Omega, x_{n}=0\}$ and let $P(x, D)$ be adifferential operator of order 2with $C^{\infty}$ coefficients …