拟线性抛物型不等方程整体解的不存在性(英文)

Nonexistence of Global Positive Solutions for Quasi-linear Parabolic Inequalities

利用先验估计和一些经典不等式证明了一类拟线性抛物型不等方程整体解的不存在性 ,并给出了一类具较强拟线性的抛物型不等式方程整体解的比较原理 。

A nonexistence theorem for global positive solutions of a class of quasilinear parabolic inequalities is established. For a class of strong quasilinear parabolic inequalities, a comparison theorem is proved. One of the features of our nonexistence theory and comparison theorem is that no initial conditions are assumed. Our ideas are a priori estimates and some classical inequalities are our mail tools.