University of Illinois Urbana-Champaign

An Isoperimetric Inequality for Fundamental Tones of Free Plates

Chasman, Laura

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https://hdl.handle.net/2142/86928

Description

Title
An Isoperimetric Inequality for Fundamental Tones of Free Plates
Author(s)
Chasman, Laura
Issue Date
2009
Doctoral Committee Chair(s)
Jared Bronski
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
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.
Graduation Semester
2009
Type of Resource
text
Permalink
http://hdl.handle.net/2142/86928

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