Strichartz Estimates for the Kinetic Transport Equation
نویسنده
چکیده
We prove Strichartz estimates for the kinetic transport equation employing the techniques of Keel and Tao [11] and Foschi [8]. Our results extend considerably the range of the known Strichartz estimates in the literature for that equation. We show sharpness to most of the estimates that we prove. In particular, in one spatial dimension we find the full range of validity of the Strichartz estimates for that equation. In the appendix we give an application to a nonlinear kinetic model of bacterial chemotaxis.
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 43 شماره
صفحات -
تاریخ انتشار 2011