具有逐块圆型边界的堆垒域上的--方程的一致估计

Ｃ＾ｎ空间中由任意Ｎ个圆型域构成的具有逐块圆型边界的堆叠域Ｄ，建立了具有离散全纯核的整体Ｂｏｃｈｎｅｒ－Ｍａｒｔｉｎｅｌｌｉ－Ｎｏｒｇｕｅｔ积分公式，获得了＾－δ－方程＾－δｕ＝ｇ的整体解及其一致估计。

多圆柱区域上方程解的积分表示

本文构造了多圆柱区域内的（０，１）型与（１．０）型的方程和两类超定方程解的积分表示，由此可获得（ｐ，ｑ）型方程解的积分表示．

Delta Shocks and Vacuum States in Vanishing Pressure Limits of Solutions to the Relativistic Euler Equations

The Riemann problems for the Euler system of conservation laws of energy and momentum in special relativity as pressure vanishes are considered. The Riemann solutions for the pressureless relativistic Euler equations are obtained constructively. There are two kinds of solutions, the one involves delta shock wave and the other involves vacuum. The authors prove that these two kinds of solutions are the limits of the solutions as pressure vanishes in the Euler system of conservation laws of energy and momentum in special relativity.