Scattering for NLS in $\mathbb{R}^d\times \mathbb{T}$

Appears in collection : LEM2I international conference / Colloque international du LEM2I

We consider the nonlinear Schrödinger equation in the partially periodic setting $\mathbb{R}^d\times \mathbb{T}$. We present some recent results obtained in collaboration with N. Tzvetkov concerning the Cauchy theory and the long-time behavior of the solutions.

nonlinear Schrödinger equation - Cauchy theory - scattering

Information about the video

Date of recording 10/12/2014
Date of publication 07/01/2015
Institution CIRM
Licence CC BY NC ND
Language French
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18653203
Cite this video Visciglia, Nicola (10/12/2014). Scattering for NLS in $\mathbb{R}^d\times \mathbb{T}$. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18653203
URL https://dx.doi.org/10.24350/CIRM.V.18653203

Domain(s)

Bibliography

Hani, Z., Pausader, B., Tzvetkov, N., & Visciglia, N. (2014). Modified scattering for the cubic Schrödinger equation on product spaces and applications. <arXiv:1311.2275v3> - http://arxiv.org/abs/1311.2275
Tzvetkov, N., & Visciglia, N. (2014). Well-posedness and scattering for NLS on $\mathbb{R}^d\times \mathbb{T}$ in the energy space. <arXiv:1409.3938v1> - http://arxiv.org/abs/1409.3938
Tzvetkov, N., & Visciglia, N. (2012) Small data scattering for the nonlinear Schrödinger equation on product spaces. Communications in Partial Differential Equations, 37(1-3), 125-135 - http://dx.doi.org/10.1080/03605302.2011.574306