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]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1992, (4).DOI:
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
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。
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.