On the asymptotic behavior of high order moments for a family of Schrodinger equations

被引:2
作者
Tzvetkov, Nikolay [1 ]
Visciglia, Nicola [2 ]
机构
[1] Univ Cergy Pontoise, CNRS, UMR 8088, F-95000 Cergy Pontoise, France
[2] Univ Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56100 Pisa, Italy
关键词
Scattering theory; Schrodinger equations; long-time behavior; SCATTERING; NLS; ENERGY; TRANSPORT; DECAY;
D O I
10.4171/PM/2062
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study upper bounds and the asymptotic behavior of high order moments for solutions to a family of linear and nonlinear Schrodinger equations.
引用
收藏
页码:101 / 128
页数:28
相关论文
共 25 条
[1]  
Agmon S., 1975, Ann. Scuola Norm. Sup. Pisa Cl. Sci., V4, P218
[2]   Scattering for NLS with a delta potential [J].
Banica, Valeria ;
Visciglia, Nicola .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (05) :4410-4439
[3]   NONLINEAR SCHRODINGER EQUATION WITH TIME DEPENDENT POTENTIAL [J].
Carles, Remi .
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2011, 9 (04) :937-964
[4]  
Cazenave T., 2003, Semilinear Schrodinger Equations, V10
[5]   Decay and Scattering of Small Solutions of Pure Power NLS in R with p > 3 and with a Potential [J].
Cuccagna, Scipio ;
Georgiev, Vladimir ;
Visciglia, Nicola .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2014, 67 (06) :957-981
[6]   GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE DEFOCUSING, L2-CRITICAL, NONLINEAR SCHRODINGER EQUATION WHEN d=1 [J].
Dodson, Benjamin .
AMERICAN JOURNAL OF MATHEMATICS, 2016, 138 (02) :531-569
[7]  
DOLLARD JD, 1971, ROCKY MOUNTAIN J MAT, V1, P5, DOI DOI 10.1216/RMJ-1971-1-1-5
[8]  
Duerinckx M., ARXIV180907106
[9]   Adiabatic charge transport and the Kubo formula for Landau-type hamiltonians [J].
Elgart, A ;
Schlein, B .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (05) :590-615