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ON THE CONCENTRATION PROPERTIES FOR THE NONLINEAR SCHRDINGER EQUATION WITH A STARK POTENTIAL 被引量：1

ON THE CONCENTRATION PROPERTIES FOR THE NONLINEAR SCHRDINGER EQUATION WITH A STARK POTENTIAL
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摘要 In this paper, we study blow-up solutions of the Cauchy problem to the L2 critical nonlinear Schrdinger equation with a Stark potential. Using the variational characterization of the ground state for nonlinear Schrdinger equation without any potential, we obtain some concentration properties of blow-up solutions, including that the origin is the blow-up point of the radial blow-up solutions, the phenomenon of L2-concentration and rate of L2-concentration of blow-up solutions. In this paper, we study blow-up solutions of the Cauchy problem to the L2 critical nonlinear Schrdinger equation with a Stark potential. Using the variational characterization of the ground state for nonlinear Schrdinger equation without any potential, we obtain some concentration properties of blow-up solutions, including that the origin is the blow-up point of the radial blow-up solutions, the phenomenon of L2-concentration and rate of L2-concentration of blow-up solutions.
作者 朱世辉 张健
机构地区 Visual Computing and Virtual Reality Key Laboratory College of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第5期1923-1938,共16页 数学物理学报（B辑英文版）
基金 supported by National Science Foundation of China (11071177)
关键词 nonlinear Schrdinger equation blow-up solution blow-up point L2-concentration concentration compact principle nonlinear Schrdinger equation blow-up solution blow-up point L2-concentration concentration compact principle
分类号 O175.29 [理学—基础数学]
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Acta Mathematica Scientia
2011年 第5期

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