Almost sure scattering for the energy-critical Schrödinger equation in 4D with radial data | Vidéo | Carmin.tv

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Almost sure scattering for the energy-critical Schrödinger equation in 4D with radial data

By Monica VISAN

Appears in collection : Asymptotic analysis of evolution equations / Analyse asymptotique des équations d'évolution

Inspired by a recent result of Dodson-Luhrmann-Mendelson, who proved almost sure scattering for the energy-critical wave equation with radial data in four dimensions, we establish the analogous result for the Schrödinger equation. This is joint work with R. Killip and J. Murphy.

Information about the video

Date of recording 05/07/2017
Date of publication 13/07/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19192703
Cite this video VISAN, Monica (05/07/2017). Almost sure scattering for the energy-critical Schrödinger equation in 4D with radial data. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19192703
URL https://dx.doi.org/10.24350/CIRM.V.19192703

Domain(s)

Analysis of PDEs

Bibliography

Dodson, B., Luhrmann, J., & Mendelson, D. (2017). Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data. <arXiv:1703.09655> - https://arxiv.org/abs/1703.09655
Killip, R., Murphy, J., & Visan, M. (2017). The initial-value problem for the cubic-quintic NLS with non-vanishing boundary conditions. <arXiv:1702.04413> - https://arxiv.org/abs/1702.04413
Killip, R., Murphy, J., & Visan, M. (2016). The final-state problem for the cubic-quintic NLS with nonvanishing boundary conditions. Analysis & PDE, 9(7), 1523-1574 - http://dx.doi.org/10.2140/apde.2016.9.1523

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