Naslov
Velocity averaging - a general framework

Autori
Lazar, Martin ; Mitrović, Darko

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

Izvornik
Topis in PDE, Microlocal and Time-frequency Analysis (PDEMTA2012) : Book of Abstracts / - Novi Sad : Department of Mathematics and Informatics, University of Novi Sad, 2012, 23-23

Skup
Topis in PDE, Microlocal and Time-frequency Analysis

Mjesto i datum
Novi Sad, Srbija, 03.09.2012. - 08.09.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
velocity averaging; generalised H-measures; ultraparabolic equations; discontinuous coefficients

Sažetak
We establish the strong $\Ldl\Rd$ precompactness of the sequence of averaged quantities $\int_{; ; \R^m}; ; u_n(\mx, \msnop)$ $\rho(\msnop)d\msnop$, where $\rho\in \Ldc{; ; \R^m}; ; $ , and $u_n\in \Ld{; ; \R^m ; \pL s\Rd}; ; $, $s\geq 2$, are weak solutions to differential operator equations with variable coefficients. In particular, this includes differential operators of hyperbolic, parabolic or ultraparabolic type, but also fractional differential operators. If $s>2$ then the coefficients can be discontinuous with respect to the space variable $\mx\in \R^d$. The main tool in the work is an extension of the H-measures, for which a representation theorem is proved. An application is give n to ultraparabolic equations with discontinuous coefficients.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA