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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
引用本文:宋敏. 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[J]. 新疆大学学报(理工版), 1992, 0(4)
作者姓名:宋敏
作者单位:新疆大学数学系
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。

关 键 词:非线性Schrodinger方程组  初边值问题  整体弱解  整体强解  Galerkin方法

WEAK AND STRONG SOLUTION FOR A CLASS OF SYSTEM OF NONLINEAR SCHRODINGER EQUATIONS WITH MAGNETIC EFFECT AND DISSIPATION
Song Min. WEAK AND STRONG SOLUTION FOR A CLASS OF SYSTEM OF NONLINEAR SCHRODINGER EQUATIONS WITH MAGNETIC EFFECT AND DISSIPATION[J]. Journal of Xinjiang University(Science & Engineering), 1992, 0(4)
Authors:Song Min
Affiliation:Song Min Department of Mathematics,XinJiang University
Abstract: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.
Keywords:nonlinear Schrodinger equation systems  initial boundary value problem  global weak solution  global strong solution  galerkin method
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