The Cauchy Problem for Coupled Nonlinear Schrdinger Equations with Linear Damping： Local and Global Existence and Blowup of Solutions

The authors study, by applying and extending the methods developed by Cazenave（2003）, Dias and Figueira（2014）, Dias et al.（2014）, Glassey（1994–1997）, Kato（1987）, Ohta and Todorova（2009） and Tsutsumi（1984）, the Cauchy problem for a damped coupled system of nonlinear Schrdinger equations and they obt...

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Published in数学年刊B辑（英文版） Vol. 37; no. 5; pp. 665 - 682
Main Author Joao-Paulo DIAS Mario FIGUEIRA Vladimir V. KONOTOP
Format Journal Article
LanguageEnglish
Published CMAF-CIO, Faculdade de Ciências, Universidade de Lisboa, Av.Prof.Gama Pinto 2, 1649-003 Lisboa,Portugal%Centro de Física Teórica e Computacional and Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, Ed.C8, 1749-016 Lisboa, Portugal 2016
Subjects
整体存在性
方程
柯西问题
爆破方案
线性阻尼
耦合系统
超临界
非线性
Blowup of solutions
Nonlinear Schr(o)dinger equations
Dissipation
Cauchy problem
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ISSN0252-9599
1860-6261
DOI10.1007/s11401-016-1006-0

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Summary:The authors study, by applying and extending the methods developed by Cazenave（2003）, Dias and Figueira（2014）, Dias et al.（2014）, Glassey（1994–1997）, Kato（1987）, Ohta and Todorova（2009） and Tsutsumi（1984）, the Cauchy problem for a damped coupled system of nonlinear Schrdinger equations and they obtain new results on the local and global existence of H-1-strong solutions and on their possible blowup in the supercritical case and in a special situation, in the critical or supercritical cases.
Bibliography:supercritical Cauchy applying estimates proof admissible constants uniqueness nonlinearity inequality
The authors study, by applying and extending the methods developed by Cazenave（2003）, Dias and Figueira（2014）, Dias et al.（2014）, Glassey（1994–1997）, Kato（1987）, Ohta and Todorova（2009） and Tsutsumi（1984）, the Cauchy problem for a damped coupled system of nonlinear Schrdinger equations and they obtain new results on the local and global existence of H-1-strong solutions and on their possible blowup in the supercritical case and in a special situation, in the critical or supercritical cases.
31-1329/O1
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-016-1006-0