一类非线性演化不等方程弱解的不存在性

Nonexistence of Weak Solutions of a Class of Nonlinear Evolution Inequality Equations

用一种先验估计的方法对非线性偏微分不等方程的弱解进行分析,目标是将这一估计应用于弱解不存在性的必要条件,利用改进的试验函数方法,对含有p-Laplace型Baouendi-Grushin算子抛物型不等方程弱解的不存在性进行研究,并进一步将方法应用到其他含有p-Laplace型Baouendi-Grushin算子不等方程中分析其弱解的不存在性.

A prior estimation method was applied to analyze the weak solutions of nonlinear partial differential inequality equations.The objective was to apply this estimation to the necessary conditions for the nonexistence of weak solutions.By using the improved test function method,the nonexistence of weak solutions of parabolic inequality equations with p-Laplace type Baouendi-Grushin operator was studied.The method was applied to other differential equations with p-Laplace type Baouendi-Grushin operator to analyze the nonexistence of its weak solutions.