一类带时变系数的退化抛物系统的奇性

Singularity of a class of degenerate parabolic systems with tme-dependent coefficients

摘要:

本文主要研究一类含时变系数的退化抛物系统在 Neumann 边界条件下的解的奇异性与全局正则性. 利用弱解的比较原理和微分不等式,本文给出解的整体存在条件与爆破条件.

Abstract:

In this paper, we study the singularity and global regularity of a class of degenerate parabolic systems with time-dependent coefficients and Neumann boundary condition. By using the comparison principle of weak solution and some differential inequalities, we give the conditions for the global existence and blow-up of the solution.