Morawetz乘子与Schrdinger方程的局部正则性  

Morawetz multipliers and local regularity of Schrdinger equations

作　　者：孟丽新[1] 沙秋夫[1] 

机构地区：[1]辽宁科技大学理学院,辽宁鞍山114051

出　　处：《鞍山科技大学学报》2007年第5期459-463,共5页Journal of Anshan University of Science and Technology

摘　　要：正则性估计在Schrdinger方程的理论研究中有着十分重要的作用,可用分析Schrdinger方程解的衰减问题及方程解的存在性问题。为将附加条件推广到更一般的情况,考虑了带有势函数的Schrdinger方程的初值问题,利用Morawetz乘子,得到了带有势函数的Schrdinger方程解的局部正则性估计。The regularity estimate plays a very important role in the Schrodinger equation＇s research such as analysis of the attenuation question of Schrodtinger equation＇s solution and estimating the existence of it. By the way of Morawetz multiplier, the local regularity estimates for the Schrodinger equation with potentials are developed which genaralize the addition condition.

关 键 词：SCHROEDINGER方程 局部正则性估计 Morawetz乘子 

分 类 号：O175.27[理学—数学]