摘要
本文用Galerkin方法研究了一类具有强非线性项的高维拟抛物方程,结合能量积分与sobolev嵌入定理证明了初边值问题强解的存在性与唯一性。
In this paper,We have Studied a class of multidimensional quasi-para- bolic equations with a strong nonlinear term by Galerkin method and, together with the energy integral and sobolev imbedding theorems, proved the existence and uniqueness of strong solution to the initial boundary value problems.
出处
《贵州师范大学学报（自然科学版）》
CAS
1991年第3期9-17,共9页
Journal of Guizhou Normal University：Natural Sciences
基金
贵州省科学技术基金
关键词
强非线性
拟抛物方程
GALERKIN法
Galerkin method, Energy integral, sobolev imbedding,strong nonlinear term
