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Almost sure scattering for the energy-critical Schrödinger equation in 4D with radial data
Multi angle
Authors : Visan, Monica (Author of the conference)
CIRM (Publisher )
35L05 - Wave equation (hyperbolic PDE)
35Q55 - NLS-like equations (nonlinear Schrödinger)
35R60 - PDEs with randomness, stochastic PDE
CIRM (Publisher )
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Abstract :
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.
MSC Codes : This is joint work with R. Killip and J. Murphy.
35L05 - Wave equation (hyperbolic PDE)
35Q55 - NLS-like equations (nonlinear Schrödinger)
35R60 - PDEs with randomness, stochastic PDE
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 13/07/17 Conference Date : 05/07/17 Subseries : Research talks arXiv category : Analysis of PDEs Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:53:19 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-07-05_Visan.mp4 
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Information on the Event
Event Title : Asymptotic analysis of evolution equations / Analyse asymptotique des équations d'évolutionEvent Organizers : Burq, Nicolas ; Delort, Jean-Marc ; Gérard, Patrick ; Koch, Herbert ; Thomann, Laurent Dates : 03/07/17 - 07/07/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1546.html
Citation Data
DOI : 10.24350/CIRM.V.19192703Cite this video as: Visan, Monica (2017). Almost sure scattering for the energy-critical Schrödinger equation in 4D with radial data. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19192703 URI : http://dx.doi.org/10.24350/CIRM.V.19192703 |
See Also
- [Multi angle] Geometric heat flows and caloric gauges / Author of the conference Tataru, Daniel.
- [Multi angle] On stability of type II blow up solutions for the critical nonlinear wave equation / Author of the conference Krieger, Joachim.
- [Multi angle] High frequency back reaction for the Einstein equations / Author of the conference Huneau, Cécile.
- [Post-edited] Various aspects of the dynamics of the cubic Szegö solutions / Author of the conference Grellier, Sandrine.
Bibliography
- Dodson, B., Luhrmann, J., & Mendelson, D. (2017). Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data.
- Killip, R., Murphy, J., & Visan, M. (2017). The initial-value problem for the cubic-quintic NLS with non-vanishing boundary conditions.
- 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
