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一类非线性Schrdinger方程的爆破性质及爆破解的L^2集中性质

L^2-Concentration of Blow-up Solutions for the Nonlinear Schrdinger Equations
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摘要 研究一类非线性Schrdinger方程iut=-△u-k(x)|u|4/Nu的初值问题,其中k(x)为R^N上有界可微函数,讨论了该方程初值问题的爆破性质及其爆破解的L2集中性质. The initial value problem of the nonlinear Schroedinger equations is investigated, where k（x） iut=-△u-k（x）｜u｜^4/Nu is a bounded differential function in R^N. The blow-up property of the problem and the L^2 -concentration property of the solution are discussed.
作者 雷贤才
机构地区 宜宾学院数学系
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2007年第1期58-61,共4页 Journal of Sichuan Normal University（Natural Science）
关键词 非线性SCHROEDINGER方程 爆破解 爆破点 L^2集中 Nonlinear Schroektinger equations Blow-up solution Blow-up point L^2 -concentration
分类号 O175.24 [理学—基础数学]
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参考文献10

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二级参考文献13

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四川师范大学学报（自然科学版）
2007年 第1期

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