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Title	Diffraction of semiclassical singularities by conormal potentials
Creator	Wunsch, Jared
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-20T09:00
Description	Consider a semiclassical Schr\"odinger operator $P=h^2\Delta+V-E,$ where $V$ has a conormal singularity along a hypersurface.  The singular structure of $V$ affects the propagation of semiclassical singularities for solutions to $Pu=0,$ and in particular there is a `diffraction' of wavefront set by the interface: singularities are reflected as well as transmitted as they cross the interface transversely.  The reflected wave, however, is more regular, with the improvement depending on the regularity of the interface; moreover singularities cannot (for high enough regularity) glide along the interface.  (Joint work with Oran Gannot.)
Extent	52.0
Subject	Mathematics Quantum theory Global analysis, analysis on manifolds Mathematical physics
Geographic Location	Banff (Alta.)
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: Northwestern University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-13
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376843
URI	http://hdl.handle.net/2429/68677
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository	DSpace

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