THE CAUCHY PROBLEM FOR SCHRODINGER FLOWS INTO KAHLER MANIFOLDS

被引：18

作者：

Kenig, Carlos ^{[1
]}

Lamm, Tobias ^{[2
]}

Pollack, Daniel ^{[3
]}

Staffilani, Gigliola ^{[4
]}

Toro, Tatiana ^{[3
]}

机构：

[1] Univ Chicago, Chicago, IL 60637 USA

[2] Univ British Columbia, Vancouver, BC V5Z 1M9, Canada

[3] Univ Washington, Seattle, WA 98195 USA

[4] MIT, Cambridge, MA 02139 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 27卷 / 02期

基金：

美国国家科学基金会;

关键词：

Schrodinger flows; Energy Estimates; Cauchy Problem; GLOBAL EXISTENCE; LOCAL EXISTENCE; MAPS; UNIQUENESS; DYNAMICS;

D O I：

10.3934/dcds.2010.27.389

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove local well-posedness of the Schrodinger flow from R-n into a compact Kahler manifold N with initial data in Hs+1(R-n, N) for s >= [n/2] + 4.

引用

页码：389 / 439

页数：51

共 50 条

[41] THE CAUCHY PROBLEM FOR SCHRODINGER EQUATIONS WITH TIME -DEPENDENT HAMILTONIAN
Cicognani, Massimo
BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 2014, 1 : 31 - 44
[42] Conditional stability for a Cauchy problem for the ultrahyperbolic Schrodinger equation
Golgeleyen, Ismet
Kaytmaz, Ozlem
APPLICABLE ANALYSIS, 2022, 101 (04) : 1505 - 1516
[43] The Cauchy problem for the Nonlinear Schrodinger equation on a compact manifold
Burq, N
Gérard, P
Tzvetkov, N
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2003, 10 : 12 - 27
[44] The Cauchy problem for nonlinear Schrodinger equations in modulation spaces
Ru, Shaolei
Chen, Jiecheng
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 24 : 83 - 97
[45] Cauchy problem for a third order nonlinear Schrodinger equation
Laurey, Corinne
Nonlinear Analysis, Theory, Methods and Applications, 1997, 29 (02): : 121 - 158
[46] The Cauchy problem for Schrodinger type equations with variable coefficients
Kajitani, K
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1998, 50 (01) : 179 - 202
[47] The Cauchy problem for nonlocal abstract Schrodinger equations and applications
Shakhmurov, Veli B.
ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (04)
[48] Cauchy problem for the nonlinear Schrodinger-IMBq equations
Wang, SB
Chen, GW
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2006, 6 (01): : 203 - 214
[49] Cauchy problem of Schrodinger-Poisson systems with dissipation
Xing, Jia-sheng
Zhengzhou Daxue Xuebao/Journal of Zhengzhou University, 2000, 32 (01): : 1 - 6
[50] The cauchy problem for quasi-linear Schrodinger equations
Kenig, CE
Ponce, G
Vega, L
INVENTIONES MATHEMATICAE, 2004, 158 (02) : 343 - 388

← 1 2 3 4 5 →