带非线性边界条件的非线性抛物型方程整体解的存在性与非存在性

The Existence and Nonexistence of Global Solutions to Quasi-linear Parabolic Equations with Nonlinear Boundary Conditions

讨论了的非线性抛物问题,研究了整体解的存在性与非存在性,通过使用上下解技巧,得到了整体解存在的充分必要条件.

This article discussed the existence and nonexistence of global positive solutions to the nonlinear parabolic problem. By using the technique of upper and lower solutions, the necessary and sufficient conditions for the global existence of solution were obtained.