Averaging lemmas with a force term in the transport equation


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  $L^2$,  and  for constant force, in $L^p$ for $1<p \leq 2$.
 


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