The velocity averaging for a heterogeneous heat type equation
Martin Lazar, Darko Mitrović · University of Zagreb University Computing Centre (SRCE) · 2011
We prove that the sequence of averaged quantities R m u n (t, x, y)v(y)dy is strongly precompact in L 2 loc (R 1+d ), where v ∈ L 2 c (R m ), and u n ∈ L 2 (R 1+d × R m ) are solutions to strictly parabolic transport equations with flux explicitly depending on space and time.In order to obtain the result, we use a recently introduced parabolic variant of H-measures.