非线性抛物型方程的周期解与概周期解

The Periodic Solutions and Almost Periodic Solutions of Nonlinear Parabolic Equations

本文研究一般的非线性抛物型方程的边值问题其中Ω是具光滑边界的Ｒｎ中的有界区域，是一对称矩阵，且满足正定条件均为正的常数。借助Ｇａｌｅｖｋｉｎ的方法，我们得到边值问题（１）、（２）在空间中解的存在唯一性及解随ｆ所具有的周期性与概周期性。

In this paper we study the boundary value problems of general nonlinear parabolic Equations where Ω is a bounded region in R' with a smooth boundary is a symmetric matrix which satisfies the positive definite condition.where are positive constants. With the method of Galerkin, we obtain the unique existence of solution in and the periodicity, almost periodicity following.