Français
Scattering for NLS in $\mathbb{R}^d\times \mathbb{T}$
Multi angle
Authors : Visciglia, Nicola (Author of the conference)
CIRM (Publisher )
35B40 - Asymptotic behavior of solutions of PDE
35P25 - Scattering theory
35Q55 - NLS-like equations (nonlinear Schrödinger)
CIRM (Publisher )
Loading the player...
|
Abstract :
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
MSC Codes : nonlinear Schrödinger equation - Cauchy theory - scattering
35B40 - Asymptotic behavior of solutions of PDE
35P25 - Scattering theory
35Q55 - NLS-like equations (nonlinear Schrödinger)
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : French Available date : 07/01/15 Conference Date : 10/12/14 Subseries : Research talks arXiv category : Mathematical Physics ; Analysis of PDEs Mathematical Area(s) : PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:49:26 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-12-10_Visciglia.mp4 
|
Information on the Event
Event Title : LEM2I international conference / Colloque international du LEM2IEvent Organizers : Benabdallah, Assia ; Dehman, Belhassen ; Dermenjian, Yves ; Lebeau, Gilles ; Pardoux, Etienne Dates : 08/12/14 - 12/12/14 Event Year : 2014 Event URL : http://lem2i-2014.sciencesconf.org/
Citation Data
DOI : 10.24350/CIRM.V.18653203Cite this video as: Visciglia, Nicola (2014). Scattering for NLS in $\mathbb{R}^d\times \mathbb{T}$. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18653203 URI : http://dx.doi.org/10.24350/CIRM.V.18653203 |
Bibliography
- Hani, Z., Pausader, B., Tzvetkov, N., & Visciglia, N. (2014). Modified scattering for the cubic Schrödinger equation on product spaces and applications.
- Tzvetkov, N., & Visciglia, N. (2014). Well-posedness and scattering for NLS on $\mathbb{R}^d\times \mathbb{T}$ in the energy space.
- 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
