Naslov
The velocity averaging for a heat type equation

Autori
Lazar, Martin ; Mitrović, Darko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Conference on Applied Mathematics and Scientific Computing : book of abstracts / Rogina, Mladen et al. - Zagreb : Prirodoslovno-matematički fakultet Sveučilišta u Zagrebu, 2009, 30-30

Skup
Conference on Applied Mathematics and Scientific Computing

Mjesto i datum
Zadar, Hrvatska, 14.09.2009. - 18.09.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
velocity averaging; H-measures; heat type equation

Sažetak
We prove that the sequence of averaged quantities $\int_{; ; ; ; \R^m}; ; ; ; h_n(t, x, \lambda) \rho(\lambda) d\lambda$ is strongly precompact in $L^1_{; ; ; ; loc}; ; ; ; (\R^+\times\R^d)$, where $\rho\in C_0(\R^m)$, and $h_n\in L^2(\R^+\times\R^d\times\R^m)$ are solutions to heat type equations with flux explicitly depending on space variables. The result is obtained by means of recently introduced parabolic H-measures.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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