Title of article
The nonlinear Schrödinger equation with white noise dispersion
Author/Authors
Anne de Bouard، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
22
From page
1300
To page
1321
Abstract
Under certain scaling the nonlinear Schrödinger equation with random dispersion converges to the nonlinear
Schrödinger equation with white noise dispersion. The aim of this work is to prove that this latter
equation is globally well posed in L2 or H1. The main ingredient is the generalization of the classical
Strichartz estimates. Additionally, we justify rigorously the formal limit described above.
© 2010 Elsevier Inc. All rights reserved
Keywords
Strichartz estimates , White noise dispersion , Stochastic partial differential equation , Nonlinear fibre optics
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840264
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