Niveau: Supérieur, Doctorat, Bac+8
Averaging lemmas with a force term in the transport equation F. Berthelin and S. Junca November 24, 2008 Abstract 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 L2, and for constant force, in Lp for 1 < p ≤ 2. Key-words: averaging lemma – force term – kinetic equation – stationary phase – Fourier series – Hardy space Mathematics Subject Classification: 1
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