带梯度项的奇异抛物方程古典解的研究(英文)  

Classical solutions for some singular parabolic equations with gradient term

作　　者：夏莉[1] 李敬娜[2] 

机构地区：[1]广东财经大学数学与统计学院,广东广州510320 [2]暨南大学信息科学技术学院数学系,广东广州510632

出　　处：《暨南大学学报（自然科学与医学版）》2014年第6期564-568,共5页Journal of Jinan University(Natural Science & Medicine Edition)

基　　金：The National Natural Science Foundation of China(No.11201311;No.11201181;No.11301345)

摘　　要：讨论了一类含梯度项的奇异抛物方程.在某些特定条件下,通过抛物正则化方法及上下解方法,获得该类方程的非负古典解的存在性,并证明了其唯一性.并且,由此还得到了某些奇异抛物问题古典径向解.Some singular parabolic equations with gradient term were discussed.Under certain condi-tions,existence and uniqueness of nonnegative classical solutions for the equations were obtained by para-bolic regularization method and sub-super solution method.As a byproduct,existence of classical radial solutions for some singular parabolic problem was also obtained.

关 键 词：存在性 唯一性 奇异抛物方程 

分 类 号：O175.26[理学—数学]