一类多维的非线性Schrdinger方程组的初边值问题  

THE INITIAL BOUNDARY VALUE PROBLEM FOR A CLASS OF SYSTEM OF MULTIDIMENSIONAL NONLINEAR SCHRODINGER EQUATIONS

作　　者：宋敏[1] 

机构地区：[1]新疆大学数学系,乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》1993年第2期36-44,共9页Journal of Xinjiang University(Natural Science Edition)

摘　　要：本文考虑一类具有耗散与磁场效应的多维非线性Schrdinger型方程组的初边值问题。使用积分估计(包括L^p—L^q估计)证明了整体解的存在性。This paper considers the initial-boundary value problem for a class of system of muhidimensional nonlinear Schrodinger equations with magnetic effects and dissipative. The existence of the global solution for this problem is proved by the integral estimations (including L^p- L^q estimations) method.

关 键 词：非线性 初边值问题 薛定锷方程组 

分 类 号：O411.1[理学—理论物理]