非线性Schr?dinger系统整体解的Liouville定理  

Liouville-type theorem of entire solutions for nonlinear Schr?dinger system

作　　者：吴千秋 计婷[1] 胡良根[1] WU Qian-qiu;JI Ting;HU Liang-gen(Faculty of Science,Ningbo University,Ningbo,315211,China)

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2019年第1期89-92,共4页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：浙江省自然科学基金(LY17A010007)

摘　　要：本文考虑具有Hardy位势的非线性Schr?dinger系统,分别利用变量替换、测试函数和积分估计证明了系统非负经典整体解的Liouville型定理成立.We take Hardy potential into consideration for the nonlinear Schrodinger system.Based on a combination of the variable substitutions transformations,the test function and the integral estimate,we complete the proof of Liouville-type theorem with the nonnegative classical entire solutions.

关 键 词：Schrodinger系统 LIOUVILLE型定理 替换 测试函数 

分 类 号：O175.25[理学—数学]