半线性发展方程的非局部问题

On the Nonlocal Problems of Semilinear Evolution Equation

本文将半线性发展方程的初边值问题转化为Ｈｉｌｂｅｒｔ空间中的抽象非局部问题，应用算子半群方法，椭圆算子的性质及不动，或原理，得到了非局部问题有关解的存在唯一性定理。

In this paper the initial-boundary value promem of semmnear evolution e-quation is reduced to the abstract nonlocal problem in some Hilbert space. The methodof semi-groups,the quality of elliptic operator and the theorem about the fixed pointare used to prove the existence and uniqueness of the solution of the nonlocal problem.