一类具奇异右端项的伪抛物方程的摄动问题

Perturbation Problems for Pseudoparabolic Equations with Singular Inhomogeneous Terms

中文关键词:  伪抛物方程  摄动  极限性态.

英文关键词:pseudoparabolic equations  perturbation  limit behaviour.

中文摘要:

      本文讨论了一类具奇异右端项的伪抛物方程的初边值问题的摄动,证明了摄动问题广义解的存在性及极限性态,并得到了当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.

英文摘要:

      In this paper, we discuss a class of perturbation problems for pseudoparabolic equations with a singular inhomogeneous term and prove that the existence and limit behaviour of generalized solutions to the perturbation problems, moreover we botain that the solutions of perturbation problems converge to the solutions of the original problems in a certain sense as tends to zero.