Naslov
H-measures applied to symmetric systems

Autori
Antonić, Nenad

Izvornik
Proceedings of the Royal Society of Edinburgh Section A - Mathematics (0308-2105) 126 (1996), Part 6; 1133-1155

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
H-measure; compensated compactness; Young measure; microlocal defect measure

Sažetak
H-measures were recently introduced by Luc Tartar as a tool which might provide better understanding of propagating oscillations. Independently, Patrick G'erard introduced the same objects under the name of {; ; sl microlocal defect measures}; ; . Partial differential equations of mathematical physics can often be written in the form of a symmetric system: $$ sum_{; ; k=1}; ; ^d A^kpartial_k u + B u = f ; , $$ where $A^k$ and $B$ are matrix functions, while $u$ is an unknown vector function, and $f$ a known vector function. In this work we prove a general propagation theorem for H-measures associated to symmetric systems. This result, combined with the localisation property is then used to obtain more precise results on the behaviour of H-measures associated to the wave equation, Maxwell's and Dirac's systems, and second order equations in two variables.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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