一类二阶抛物型方程初边值问题解的存在定理
A EXISTENCE THEOREM FOR SOME SECOND ORDER PARABOLIC INITIAL-BOUNDARY VALUE PROBLEMS

本文研究了一类二阶非线性抛物型方程解的存在唯一性问题.利用非线性分析中的吸引盆理论和同胚理论，获得了相应的二阶非线性抛物型方程初边值问题解的大范围存在唯一性定理.
In this paper, an a priori estimate for a second order linear parabolic operators is established. By using the basin of attraction and homeomorphism, a new sufficient condition of the existence and uniqueness of an initial boundary value problem for a second order parabolic equations is proved. This idea can be applied some semi-linear partial differential equations