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Title:An Isoperimetric Inequality for Fundamental Tones of Free Plates
Author(s):Chasman, Laura
Doctoral Committee Chair(s):Jared Bronski
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:We adapt Weinberger's method from the corresponding free membrane problem, taking the fundamental modes of the unit ball as trial functions. These solutions are a linear combination of Bessel and modified Bessel functions.
Issue Date:2009
Type:Text
Language:English
Description:78 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.
URI:http://hdl.handle.net/2142/86928
Other Identifier(s):(MiAaPQ)AAI3391901
Date Available in IDEALS:2015-09-28
Date Deposited:2009


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