engleski

Propagation of oscillations in semilinear hyperbolic partial differential equation

Using our earlier computation of the transport equation satisfied by the H-measure associated to a sequence of oscillating solutions of a symmetric hyperbolic system, we express the limit microlocal energy density as a function of the H-measure associated to the initial data by solving that transport equation. We isolate a number of linearisable cases, where the nonlinearity term does not add new oscillations to the limit.

H-measures; propagation of oscillations; hyperbolic PDE's

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