Schauder不动点定理在一类非线性方程中的一个应用

摘要

Based on the L＇ Theory of the partial diffccntial equation and the Schaudcfs fixed point theorem, this paper gets tic global strong solution for a class of nonlinear parabolic equation, then proves the uniqueness of the global strong solution.%本文利用偏微分方程的三？理论和Schauder不动点定理，证明了一类非线性抛物方程的整体强解，并证明了整体强解的惟一性。