Growth of Sobolev Norms of Solutions of Linear Schrodinger Equations on Some Compact Manifolds

International Mathematics Research Notices ◽

10.1093/imrn/rnp213 ◽

2009 ◽

Author(s):

J.-M. Delort

Keyword(s):

Compact Manifolds ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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Nonlinear Schrödinger Equations on Compact Manifolds

European Congress of Mathematics Stockholm, June 27 – July 2, 2004 ◽

10.4171/009-1/9 ◽

2009 ◽

pp. 121-139

Author(s):

Patrick Gérard

Keyword(s):

Nonlinear Schrödinger Equations ◽

Compact Manifolds ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On growth in time of Sobolev norms of smooth solutions of nonlinear Schrödinger equations in ℝD

Journal d Analyse Mathématique ◽

10.1007/bf02843163 ◽

1997 ◽

Vol 72 (1) ◽

pp. 299-310 ◽

Author(s):

J. Bourgain

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Smooth Solutions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

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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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Growth of Sobolev Norms in Linear Schrödinger Equations with Quasi-Periodic Potential

Communications in Mathematical Physics ◽

10.1007/s002200050644 ◽

1999 ◽

Vol 204 (1) ◽

pp. 207-247 ◽

Author(s):

J. Bourgain

Keyword(s):

Periodic Potential ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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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 the growth of Sobolev norms for a class of linear Schrödinger equations on the torus with superlinear dispersion

Asymptotic Analysis ◽

10.3233/asy-181470 ◽

2018 ◽

Vol 108 (1-2) ◽

pp. 85-114 ◽

Author(s):

Riccardo Montalto

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

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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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Bounds on the growth of high discrete Sobolev norms for the cubic discrete nonlinear Schrödinger equations on \begin{document}$ h\mathbb{Z} $\end{document}

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2019131 ◽

2019 ◽

Vol 39 (6) ◽

pp. 3179-3195 ◽

Author(s):

Joackim Bernier ◽

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations ◽

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Standing wave concentrating on compact manifolds for nonlinear Schrödinger equations

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2015.14.825 ◽

2015 ◽

Vol 14 (3) ◽

pp. 825-842 ◽

Author(s):

Jaeyoung Byeon ◽

Ohsang Kwon ◽

Yoshihito Oshita

Keyword(s):

Standing Wave ◽

Nonlinear Schrödinger Equations ◽

Compact Manifolds ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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The growth in time of higher Sobolev norms of solutions to Schrödinger equations on compact Riemannian manifolds

Journal of Differential Equations ◽

10.1016/j.jde.2008.03.008 ◽

2008 ◽

Vol 245 (2) ◽

pp. 359-376 ◽

Author(s):

Sijia Zhong

Keyword(s):

Riemannian Manifolds ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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