一类含有梯度项的奇异抛物方程古典解的存在性

基金项目:

国家自然科学基金数学天元青年基金

详细信息

Existence of classical solutions for a class of parabolic equations with gradient terms

摘要: 研究了一类含有梯度项的奇异型抛物方程. 在一定条件下, 通过抛物正则化方法及上下解方法, 获得了该问题的古典解, 证明了这个解在边界点处的一阶导数为0. 而且,证明了某些奇异问题古典径向解的存在性.
- 奇异抛物方程, 存在性, 径向解
Abstract: The initial-boundary value problem for a class of singular parabolic equations is discussed. Under some conditions, classical solutions for the problem by parabolic regularization method and sub-super solution method showing that the first derivatives of solutions are zero on the boundary are obtained. Moreover, the existence of classical radial solutions for some singular parabolic problems is proved.
- singular parabolic equation,existence, radial solution