Izvorni znanstveni članak
The velocity averaging for a heterogeneous heat type equation
Martin Lazar
orcid.org/0000-0002-4034-5770
; University of Dubrovnik, Dubrovnik, Croatia
Darko Mitrović
; Faculty of Mathematics, University of Montenegro, Podgorica, Montenegro
Sažetak
We prove that the sequence of averaged quantities
$\int_{\R^m}u_n(t,\mx,\my) v(\my)d\my$ is strongly precompact in
$\Ldl\Rjpd$, where $v\in \Ldc{\R^m}$, and $u_n\in
\Ld{\Rjpd\times \R^m}$ 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.
Ključne riječi
velocity averaging; parabolic H-measures; heat type equation; heterogeneous coefficients
Hrčak ID:
68643
URI
Datum izdavanja:
10.6.2011.
Posjeta: 1.450 *