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An averaging theorem for nonlinear Schrödinger equations with small nonlinearities

  • Published:2014 Issue:9 Volume:34 Page:3555-3574
  • ISSN:1553-5231
  • Container-title:Discrete & Continuous Dynamical Systems - A
  • language:en
  • Short-container-title:

Author:

Huang Guan,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference15 articles.

1. Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equation,;D. Bambusi;Math. Z.,1999

2. Galerkin averaging method and Poincaré normal form for some quasilnear PDEs,;D. Bambusi;Ann. Scuola Norm. Sup. Pisa C1. Sci.,2005

3. Forme normale pour NLS en dimension quelconque,;D. Bambusi;Comptes Rendus Mathématique,2003

4. Differentiable Measures and the Malliavin Calculus,;V. Bogachev;American Mathematical Society,2010

5. On the absolute continuity of the distributions of smooth functions on infinite-dimensional spaces with measures,;V. Bogachev;preprint,2013

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1. AVERAGING PRINCIPLE FOR NONLINEAR DIFFERENTIAL SYSTEMS WITH JORDAN BLOCKS;Journal of Applied Analysis & Computation;2024

2. Averaging Method for Quasi-Linear Hyperbolic Systems;Russian Journal of Mathematical Physics;2023-12

3. Averaging Principle for Complex Ginzburg--Landau Equation Perturbated by Mixing Random Forces;SIAM Journal on Mathematical Analysis;2021-01

4. Krylov–Bogolyubov averaging;Russian Mathematical Surveys;2020-06-01

5. The Effective Equation Method;New Approaches to Nonlinear Waves;2016
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