Propagation of singularities under Schr\"odinger equations on manifolds with ends

We prove a microlocal smoothing effect of Schr\"odinger equations on manifolds. We employ radially homogeneous wavefront sets introduced by Ito and Nakamura (Amer. J. Math., 2009). In terms of radially homogeneous wavefront sets, we can apply our theory to both of asymptotically conical and hyp...

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Bibliographische Detailangaben

1. Verfasser:	Fukushima, Shota
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
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