一类含有梯度项的奇异抛物方程古典解的存在性  

Existence of Classical Solutions for a Class of Parabolic Equations with Gradient Terms

作　　者：夏莉[1] 李敬娜[2] 

机构地区：[1]深圳大学数学与计算科学学院,广东深圳518060 [2]暨南大学数学系,广东广州510632

出　　处：《华南师范大学学报（自然科学版）》2013年第1期24-26,共3页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金数学天元青年基金项目(11026156)

摘　　要：在一定条件下,通过抛物正则化方法及上下解方法,获得了一类含有梯度项的奇异型抛物方程的古典解,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.Under some conditions, classical solutions for the initial - boundary value problem for a class of singular parabolic equations by parabolic regularization method and tires of solutions are zero on the boundary are obtained. some singular parabolic problems is proved. sub - super solution method showing that the first deriva- Moreover, the existence of classical radial solutions for some singular parabolic problems is proved.

关 键 词：奇异抛物方程 存在性 径向解 

分 类 号：O175.2[理学—数学]