具有非线性非局部边界条件的非散度型退化抛物方程的定性分析

Qualitative Analysis of Nondivergent Degraded Parabolic Equations with Nonlinear Nonlocal Boundary Condition

本文考虑了一类具有非线性非局部边界条件的非散度型退化抛物方程的定性分析问题。在广义指数项条件下,应用上下解方法,讨论了在各种条件下方程解的整体存在性和爆破性质。

In this paper,we consider the qualitative analysis of a class of degenerate parabolic equation of non-divergence type with non-linear and non-local boundary conditions.Under the condition of generalized exponential terms,the global existence and blow-up properties of solutions of the equation under various conditions are discussed by using the upper and lower solutions method.