Propagation of the Homogeneous Wave Front Set for Schrödinger Equations∗
نویسنده
چکیده
In this paper we study the propagation of singularity for Schrödingertype equations with variable coefficients. We introduce a new notion of wave propagation set, the homogeneous wave front set, and it propagates along straight lines with finite speed away from x 6= 0. Then we show that it is related to the wave front set in a natural way. These results may be considered as a refinement of the microlocal smoothing property of Craig-Kappeler-Strauss under more general assumptions.
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