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University of Cambridge > Talks.cam > Cambridge Analysts' Knowledge Exchange > The solution of the Gevrey smoothing conjecture for the fully nonlinear homogeneous Boltzmann equation for Maxwellian molecules

## The solution of the Gevrey smoothing conjecture for the fully nonlinear homogeneous Boltzmann equation for Maxwellian moleculesAdd to your list(s) Download to your calendar using vCal - Tobias Ried (Karlsruhe Institute of Technology)
- Wednesday 02 March 2016, 16:00-17:00
- MR14, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Mr Simone Parisotto. While under the so called Grad cutoff assumption the homogeneous Boltzmann equation is known to propagate smoothness and singularities, it has long been suspected that the non-cutoff Boltzmann operator has similar coercivity properties as a fractional Laplace operator. This has led to the hope that the homogenous Boltzmann equation enjoys similar smoothing properties as the heat equation with a fractional Laplacian.
We prove that any weak solution of the fully nonlinear non-cutoff homogenous Boltzmann equation (for Maxwellian molecules) with initial datum f This talk is part of the Cambridge Analysts' Knowledge Exchange series. ## This talk is included in these lists:- All CMS events
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