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EVOLUTION OF GAUSSIAN MEASURES AND APPLICATION TO THE ONE DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION (Nonlinear and Random Waves)

THOMANN, LAURENT 京都大学

2023.04

概要

In this note, we give an overview of some results obtained in [3], written in collaboration with Nicolas Burq. This latter work is devoted to the study of the one-dimensional nonlinear Schrödidinger equation with random initial conditions. Namely, we describe the nonlinear evolution of Gaussian measures and we deduce global well-posedness and scattering results for the corresponding nonlinear Schrödidinger equation.

参考文献

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48

EVOLUTION OF GAUSSIAN MEASURES AND NLS

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INSTITUT ELIE CARTAN, UNIVERSITE DE LORRAINE, B.P. 70239, F-54506 VA:'-IDCEUVRE-LES-NANCY CEDEX

Email address: laurent . thomann©uni v-lorraine. fr

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