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Blow-Up and Mass Concentration of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
引用本文:秦玉明.Blow-Up and Mass Concentration of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations[J].数学季刊,1994(2).
作者姓名:秦玉明
作者单位:Henan University,Kaifeng,475001
摘    要:Blow-UpandMassConcentrationofSolutionsto theCauchyProblemforNonlinearSchrodingerEquations秦玉明Blow-UpandMassConcentrationofSolu...


Blow-Up and Mass Concentration of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
Qin Yuming.Blow-Up and Mass Concentration of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations[J].Chinese Quarterly Journal of Mathematics,1994(2).
Authors:Qin Yuming
Abstract:We prove in this paper the blow-up theorem of the generalized solution.and its L2 mass concentration theorem on the set of blow-up points near the blow-up time of the Cauchy problom for nonlinear Schredinger equations and give the structure of the set of the blow-up points and the estimates on the blow-up time.Furthermore we extend and improve some reults in 2] and 5].
Keywords:Schrodinger equation  Cauchy problem  mass con centration
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