University of Birmingham > Talks@bham > Analysis seminar > A sharp bilinear estimate for the Klein-Gordon equation in arbitrary space-time dimensions

## A sharp bilinear estimate for the Klein-Gordon equation in arbitrary space-time dimensionsAdd to your list(s) Download to your calendar using vCal - 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:Note that ex-directory lists are not shown. |
## Other listsMetamaterials Research Group Seminars Type the title of a new list here Combinatorics and Probability seminar## Other talksThe percolating cluster is invisible to image recognition with deep learning Provably Convergent Plug-and-Play Quasi-Newton Methods for Imaging Inverse Problems Statistical Physics Perturbation Theory Applied to the Ising Model on the Square, Cubic and Hypercubic Lattices Signatures of structural criticality and universality in the cellular anatomy of the brain [Friday seminar]: Irradiated brown dwarfs in the desert |