\nopagenumbers
\magnification=\magstep1
\hsize=6truein

\font\sf=cmss10


\leftline{Nenad Antoni\'c}
\vskip2cm
\centerline{{\bf H-measures and propagation of singularities}}
\vskip2cm

A general propagation theorem for $H$-measures associated to symmetric
systems (the systems of the form: $\sum_{i=1}^d {\bf A}^k \partial_k {\sf u}
+ {\bf B} {\sf u} = {\sf f}$ with ${\bf B}$ being a matrix function, and ${\bf A}^k$
symmetric matrix functions) will be discussed.
This theorem combined by the localisation property for $H$-measures will then be
used to obtain more precise results on the behaviour of $H$-measures associated
to the wave equation and some systems.
Possible interpretation of $H$-measures as objects describing propagation of
oscillation will be given, together with other examples related to certain
semilinear hyperbolic systems, comparing this technique to the one where 
Young measures are being used.

\bye