二阶非散度型拟线性抛物型方程古典解的存在性

Existence of Classical Solutions to Second-order Non-divergence Quasilinear Parabolic Equations

用非线性泛涵分析的基本知识和Banach空间上的隐函数定理证明了非散度型拟线性抛物型方程古典解的存在性。

The existence of classical solutions to non-divergence quasilinear parabolic equation of second order has been proved by basic knowledge of non-linear functional analysis and implicit function theorem in banacb spaces.