h—Schrdinger方程的可解性及相关问题

The Solvability of H-Schrdinger Equation and the Concerning Problems

对更广泛的一类二阶对称椭圆型算子，引入了ｈ—Ｓｃｈｒｏｄｉｎｇｅｒ方程的概念，利用条件扩散的鞅特性和条件Ｆｅｙｎｍａｎ—Ｋａｃ泛函，对ｈＳｃｈｒｏｄｉｎｇｅｒ方程在古典意义下进行了求解。

In this paper, We discuss the solvability of hSchrdinger equation on elliptic operators of secord order, by the conditional diffusion process, Conditional Feynman functional,martingale,the actual expressive solution is obtained in classical sense. Moreover, Conditinol gauge and some estimations concerning the lifetime are obtained.