The Cauchy Problem for Coupled Nonlinear Schrdinger 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 Schrdinger 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 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| 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
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9599 1860-6261 |
| DOI | 10.1007/s11401-016-1006-0 |
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| Abstract | 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 Schrdinger 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. |
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| AbstractList | 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 Schrdinger 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. |
| Author | Joao-Paulo DIAS Mario FIGUEIRA Vladimir V. KONOTOP |
| AuthorAffiliation | LCMAF-CIO, Faculdade de Ciencias, Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal. Centro de Ffsica Teorica e Computacional and Departamento de Fisica, Faculdade de Ciencias, Universidade de Lisboa, Campo Grande, Ed.C8, 1749-016 Lisboa, Portugal. |
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| DOI | 10.1007/s11401-016-1006-0 |
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| DocumentTitleAlternate | The Cauchy Problem for Coupled Nonlinear Schrdinger Equations with Linear Damping： Local and Global Existence and Blowup of Solutions |
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| Keywords | Blowup of solutions Nonlinear Schr(o)dinger equations Dissipation Cauchy problem |
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| Notes | 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 Schrdinger 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 |
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| PublicationTitle | 数学年刊B辑（英文版） |
| PublicationTitleAlternate | Chinese Annals of Mathematics |
| PublicationTitle_FL | Chinese Annals of Mathematics,Series B |
| PublicationYear | 2016 |
| Publisher | 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 |
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| Snippet | The authors study, by applying and extending the methods developed by Cazenave（2003）, Dias and Figueira（2014）, Dias et al.（2014）, Glassey（1994–1997）,... |
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| SubjectTerms | 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 |
| Title | The Cauchy Problem for Coupled Nonlinear Schrdinger Equations with Linear Damping： Local and Global Existence and Blowup of Solutions |
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