Growth of Sobolev norms in linear Schrödinger equations with smooth time dependent potential

Global Solutions of Nonlinear Schrödinger Equations - Colloquium Publications ◽

10.1090/coll/046/07 ◽

1999 ◽

pp. 155-172

Keyword(s):

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Sobolev Norms ◽

Dependent Potential

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On growth of sobolev norms in linear schrödinger equations with smooth time dependent potential

Journal d Analyse Mathématique ◽

10.1007/bf02791265 ◽

1999 ◽

Vol 77 (1) ◽

pp. 315-348 ◽

Author(s):

J. Bourgain

Keyword(s):

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Sobolev Norms ◽

Dependent Potential

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On growth of Sobolev norms in time dependent linear Schrödinger equations on spheres

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.01.029 ◽

2012 ◽

Vol 390 (1) ◽

pp. 165-180

Author(s):

Qidi Zhang ◽

Daoyuan Fang

Keyword(s):

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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On Long-Time Behaviour of Solutions of Linear Schrödinger Equations with Smooth Time-Dependent Potential

Lecture Notes in Mathematics - Geometric Aspects of Functional Analysis ◽

10.1007/978-3-540-36428-3_8 ◽

2003 ◽

pp. 99-113 ◽

Author(s):

J. Bourgain

Keyword(s):

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Time Behaviour ◽

Long Time Behaviour ◽

Long Time ◽

Dependent Potential

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Lower bounds on the growth of Sobolev norms in some linear time dependent Schrödinger equations

Mathematical Research Letters ◽

10.4310/mrl.2019.v26.n4.a11 ◽

2019 ◽

Vol 26 (4) ◽

pp. 1197-1215 ◽

Author(s):

Alberto Maspero

Keyword(s):

Lower Bounds ◽

Linear Time ◽

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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On Growth of Sobolev Norms in Linear Schrödinger Equations with Time Dependent Gevrey Potential

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-012-9244-7 ◽

2012 ◽

Vol 24 (2) ◽

pp. 151-180 ◽

Author(s):

Daoyuan Fang ◽

Qidi Zhang

Keyword(s):

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential

Journal of Mathematical Physics ◽

10.1063/1.5144330 ◽

2020 ◽

Vol 61 (4) ◽

pp. 041504

Author(s):

Qingquan Deng ◽

Xiaohua Yao

Keyword(s):

Asymptotic Stability ◽

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Dependent Potential

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Growth of Sobolev norms for time dependent periodic Schrödinger equations with sublinear dispersion

Journal of Differential Equations ◽

10.1016/j.jde.2018.10.017 ◽

2019 ◽

Vol 266 (8) ◽

pp. 4953-4996 ◽

Author(s):

Riccardo Montalto

Keyword(s):

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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On time dependent Schrödinger equations: Global well-posedness and growth of Sobolev norms

Journal of Functional Analysis ◽

10.1016/j.jfa.2017.02.029 ◽

2017 ◽

Vol 273 (2) ◽

pp. 721-781 ◽

Author(s):

A. Maspero ◽

D. Robert

Keyword(s):

Time Dependent ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

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Large time behavior in nonlinear Schrödinger equations with time dependent potential

Communications in Mathematical Sciences ◽

10.4310/cms.2015.v13.n2.a9 ◽

2015 ◽

Vol 13 (2) ◽

pp. 443-460 ◽

Author(s):

Rémi Carles ◽

Jorge Drumond Silva

Keyword(s):

Large Time Behavior ◽

Nonlinear Schrödinger Equations ◽

Time Dependent ◽

Schrodinger Equations ◽

Time Behavior ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Dependent Potential

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Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations

Communications in Partial Differential Equations ◽

10.1080/03605300802537115 ◽

2008 ◽

Vol 33 (12) ◽

pp. 2164-2179 ◽

Author(s):

W.-M. Wang

Keyword(s):

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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