一类具有耗散与磁场效应的非线性Schrodinger型方程组的弱解与强解  

WEAK AND STRONG SOLUTION FOR A CLASS OF SYSTEM OF NONLINEAR SCHRODINGER EQUATIONS WITH MAGNETIC EFFECT AND DISSIPATION

作　　者：宋敏[1] 

机构地区：[1]新疆大学数学系

出　　处：《新疆大学学报（自然科学版）》1992年第4期13-22,共10页Journal of Xinjiang University(Natural Science Edition)

摘　　要：本文考虑一类多维具有耗散与磁场效应的非线性Schrodinger型方程组的初边值问题,利用Galerkin方法和紧致性原理,证明了该问题整体弱解与强解的存在性。We consider the initial boundary value problem for a class of system of nonlinearSchrodinger equations with magnetic effect and dissipation. The existance of the global weakand strong solution for this problem is proved by the Galerkin method and compact theorem.

关 键 词：非线性 弱解 强解 薛定谔方程 

分 类 号：O175.29[理学—数学]