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The wave equation on a model convex domain revisited
Multi angle
Authors : Planchon, Fabrice (Author of the conference)
CIRM (Publisher )
35B45 - A priori estimates
35L05 - Wave equation (hyperbolic PDE)
35L20 - Initial-boundary value problems for second-order hyperbolic equations
58J45 - Hyperbolic equations
35A18 - Wave front sets
CIRM (Publisher )
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Abstract :
We detail how the new parametrix construction that was developped for the general case allows in turn for a simplified approach for the model case and helps in sharpening both positive and negative results for Strichartz estimates.
MSC Codes : 35B45 - A priori estimates
35L05 - Wave equation (hyperbolic PDE)
35L20 - Initial-boundary value problems for second-order hyperbolic equations
58J45 - Hyperbolic equations
35A18 - Wave front sets
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 22/06/17 Conference Date : 16/06/17 Subseries : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:51:44 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-06-16_Planchon.mp4 
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Information on the Event
Event Title : French-American conference on nonlinear dispersive PDEs / Conférence franco-américaine sur les EDP dispersives non linéairesEvent Organizers : Carles, Rémi ; Holmer, Justin ; Roudenko, Svetlana Dates : 12/06/17 - 16/06/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1510.html
Citation Data
DOI : 10.24350/CIRM.V.19183503Cite this video as: Planchon, Fabrice (2017). The wave equation on a model convex domain revisited. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19183503 URI : http://dx.doi.org/10.24350/CIRM.V.19183503 |
See Also
- [Multi angle] Dynamics of almost parallel vortex filaments / Author of the conference Banica, Valeria.
- [Multi angle] Solitons vs collapses / Author of the conference Kuznetsov, Evgenii.
- [Multi angle] Dispersive waves in novel 2d media; Honeycomb structures, edge states and the strong binding regime / Author of the conference Weinstein, Michael.
- [Multi angle] Interactions of solitary waves for the nonlinear Schrödinger equations / Author of the conference Martel, Yvan.
- [Multi angle] Soliton resolution for derivative NLS equation / Author of the conference Sulem, Catherine.
- [Post-edited] Unresolved problems in the theory of integrable systems / Author of the conference Zakharov, Vladimir.
Bibliography
- Ivanovici, O., Lebeau, G., & Planchon, F. (2014). Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case. Annals of Mathematics. Second Series, 180(1), 323-380 - http://dx.doi.org/10.4007/annals.2014.180.1.7
