Global well-posedness for the critical Schrodinger-Debye system
被引:5
|
作者:
Carvajal, Xavier
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机构:
Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, RJ, BrazilUniv Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, RJ, Brazil
Carvajal, Xavier
[1
]
Gamboa, Pedro
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机构:
Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, RJ, BrazilUniv Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, RJ, Brazil
Gamboa, Pedro
[1
]
机构:
[1] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, RJ, Brazil
Schrodinger-Debye system;
Global well-posedness;
A priori estimates;
D O I:
10.4310/DPDE.2014.v11.n3.a3
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We establish global well-posedness results for the initial value problem associated to the Schrodinger-Debye system in dimension two, for data in H-s(R-2) x L-2(R-2), 2/3 < s <= 1 and for data in H-1(R-2) x H-1(R-2).
机构:
Univ Lille 1, Lab Paul Painleve, UMR CNRS 8524, UFR Math, F-59655 Villeneuve Dascq, FranceUniv Lille 1, Lab Paul Painleve, UMR CNRS 8524, UFR Math, F-59655 Villeneuve Dascq, France
Bensouilah, Abdelwahab
Draoui, Dhouha
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机构:
Univ Tunis El Manar, Lab EDP LR03ES04, Dept Math, Fac Sci Tunis, Tunis 2092, TunisiaUniv Lille 1, Lab Paul Painleve, UMR CNRS 8524, UFR Math, F-59655 Villeneuve Dascq, France
Draoui, Dhouha
Majdoub, Mohamed
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机构:
Imam Abdulrahman Bin Faisal Univ, Dept Math, Coll Sci, POB 1982, Dammam, Saudi ArabiaUniv Lille 1, Lab Paul Painleve, UMR CNRS 8524, UFR Math, F-59655 Villeneuve Dascq, France