一类抛物型方程的摄动问题  

Perturbation Problems for Parabolic Equations with Singular Inhomogeneous Terms

作　　者：徐传芳[1] 杜纪奎[1] 

机构地区：[1]临沂师范学院数学系,山东临沂276005

出　　处：《临沂师范学院学报》2003年第3期1-5,共5页Journal of Linyi Teachers' College

摘　　要：讨论了一类具有奇性右端项的抛物型方程的初边值问题的摄动问题,考察了摄动问题广义解的存在性及其极限性态,证明了当ε趋于零时,摄动问题的解在一定意义下收敛于原问题的解.In this paper, we discuss a class of perturbation problems for parabolic equtions with a singular in homogeneous term and prove that the existence and limit behaviour of generalized solutions to the perturbation problems, moreover we obtain that the solutions of perturbation problems converge to the original problems in a certain sense as ε tends to zero and extend these results of in the case of two and three dimension to the case of higher dimension.

关 键 词：抛物型方程 摄动 极限性态 

分 类 号：O175.26[理学—数学]