N ov 2 00 8 Averaging lemmas with a force term in the transport equation
نویسنده
چکیده
We obtain several averaging lemmas for transport operator with a force term. These lemmas improve the regularity yet known by not considering the force term as part of an arbitrary right-hand side. We compare the obtained regularities according to the space and velocity variables. Our results are mainly in L 2 , and for constant force, in L p for 1 < p ≤ 2. Keywords: averaging lemma – force term – kinetic equation – stationary phase – Fourier series – Hardy space Mathematics Subject Classification:
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تاریخ انتشار 2008