MULTI-TRAVELLING WAVES FOR THE NONLINEAR KLEIN-GORDON EQUATION

被引：17
|
作者：
Cote, Raphael [1 ]
Martel, Yvan [2 ]
机构：
[1] Univ Strasbourg, CNRS, IRMA UMR 7501, F-67000 Strasbourg, France
[2] Univ Paris Saclay, CNRS, Ecole Polytech, CMLS, F-91128 Palaiseau, France
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 370卷 / 10期
关键词：
Klein-Gordon equation; multi-soliton; ground states; excited states; instability; ONE SPACE DIMENSION; SOLITARY WAVES; SCHRODINGER-EQUATIONS; GROUND-STATES; MULTISOLITON SOLUTIONS; ELLIPTIC-EQUATIONS; STABILITY THEORY; RADIAL SOLUTIONS; GKDV EQUATIONS; CAUCHY-PROBLEM;
D O I：
10.1090/tran/7303
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For the nonlinear Klein-Gordon equation in R1+d, we prove the existence of multi-solitary waves made of any number N of decoupled bound states. This extends the work of Cote and Munoz (Forum Math. Sigma 2 (2014)) which was restricted to ground states, as were most previous similar results for other nonlinear dispersive and wave models.
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页码：7461 / 7487
页数：27
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