التفاصيل البيبلوغرافية
| العنوان: |
Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{\'o}dinger equation |
| المؤلفون: |
Thomann, Laurent, Burq, Nicolas |
| المصدر: |
RIMS Workshop: Nonlinear and Random Waves, RIMS, Oct 2022, Kyoto (Japan), France |
| سنة النشر: |
2023 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Analysis of PDEs |
| الوصف: |
In this note, we give an overview of some results obtained in [3]. This latter work is devoted to the study of the one-dimensional nonlinear Schr{\"o}dinger 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 Schr{\"o}dinger equation. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2303.06964 |
| رقم الانضمام: |
edsarx.2303.06964 |
| قاعدة البيانات: |
arXiv |