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University of Birmingham > Talks@bham > Analysis seminar > Local smoothing estimates for Fourier Integral Operators and wave equations
Local smoothing estimates for Fourier Integral Operators and wave equationsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Diogo Oliveira E Silva. The sharp fixed-time Sobolev estimates for Fourier Integral Operators (and therefore solutions to wave equations in Euclidean space or compact manifolds) were established by Seeger, Sogge and Stein in the early 90s. Shortly after, Sogge observed that a local average in time leads to a regularity improvement with respect to the sharp fixed-time estimates. Establishing variable-coefficient counterparts of the Bourgain-Demeter decoupling inequalities, we improved the previous known local smoothing estimates for FIOs, and we show, in particular, that our results are sharp in both the Lebesgue and regularity exponent (up to the endpoint) in odd dimensions. This is joint work with Jonathan Hickman and Christopher D. Sogge. This talk is part of the Analysis seminar series. This talk is included in these lists:Note that ex-directory lists are not shown. |
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