Title	Eigenvalue asymptotics for Steklov-type problems on curvilinear polygons
Creator	Sher, David
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-04T11:19
Description	We study eigenvalue asymptotics for a class of Steklov problems, possibly mixed with Dirichlet and/or Neumann boundary conditions, on planar domains with piecewise smooth boundary and with finitely many corners. This includes the famous "sloshing problem" as well as the Steklov problem on polygons. Two interesting features of this problem, which I will explain, are the surprisingly precise asymptotics we can obtain (with error decreasing as the spectral parameter increases) and a connection to a scattering problem on the Steklov portion of the boundary. This is joint work with M. Levitin (Reading), L. Parnovski (UCL), and I. Polterovich (Montreal).
Extent	22.0
Subject	Mathematics; Numerical analysis; Computer science; Global analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: DePaul University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-20
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377215
URI	http://hdl.handle.net/2429/68985
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos