A sharp bilinear estimate for the Klein-Gordon equation in arbitrary space-time dimensions

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• Chris Jeavons (Birmingham)
• Wednesday 13 February 2013, 16:00-17:00
• R17/18 Watson.

If you have a question about this talk, please contact Neal Bez.

In this talk we present a sharp bilinear inequality for the Klein-Gordon propagator for dimensions d > 1, in the spirit of earlier work done by Carneiro for the Schrodinger propagator, and Bez-Rogers for the wave propagator. From this inequality we obtain a sharp Strichartz estimate for the solution to the Klein-Gordon equation in the case d = 5, and that there are no maximising functions (that is, functions for which one has equality) for this estimate. We also recover a recent result of Quilodran concerning the closely related Fourier restriction problem for the hyperboloid. Finally, we comment briefly on the case d = 1, and describe some open questions.

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis Seminar
• Analysis seminar
• R17/18 Watson
• School of Mathematics Events

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