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H 1 Scattering for NLS in $\mathbb{R}^d\times \mathbb{T}$

Auteurs : Visciglia, Nicola (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : 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

    Codes MSC :
    35B40 - Asymptotic behavior of solutions of PDE
    35P25 - Scattering theory
    35Q55 - NLS-like equations (nonlinear Schrödinger)

      Informations sur la Vidéo

      Langue : Français
      Date de publication : 07/01/15
      Date de captation : 10/12/14
      Collection : Research talks ; Partial Differential Equations ; Mathematical Physics
      Format : quicktime ; audio/x-aac
      Durée : 00:49:26
      Domaine : PDE ; Mathematical Physics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2014-12-10_Visciglia.mp4

    Informations sur la rencontre

    Nom de la rencontre : LEM2I international conference / Colloque international du LEM2I
    Organisateurs de la rencontre : Benabdallah, Assia ; Dehman, Belhassen ; Dermenjian, Yves ; Lebeau, Gilles ; Pardoux, Etienne
    Dates : 08/12/14 - 12/12/14
    Année de la rencontre : 2014
    URL Congrès : http://lem2i-2014.sciencesconf.org/

    Citation Data

    DOI : 10.24350/CIRM.V.18653203
    Cite 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


    Bibliographie

    1. Hani, Z., Pausader, B., Tzvetkov, N., & Visciglia, N. (2014). Modified scattering for the cubic Schrödinger equation on product spaces and applications. - http://arxiv.org/abs/1311.2275

    2. Tzvetkov, N., & Visciglia, N. (2014). Well-posedness and scattering for NLS on $\mathbb{R}^d\times \mathbb{T}$ in the energy space. - http://arxiv.org/abs/1409.3938

    3. 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

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