Optimal design problems for quasidisks and partially clamped drums: Existence, symmetrization, and numerical methods

It is shown that the class of quasidisks in the complex plane, with fixed quasicircle constant and area, is compact in both the Hausdorff metric and in the sense of Caratheodory convergence. Compactness for chord-arc domains with fixed chord-arc constant and area is shown as a result of the quasidis...

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Bibliographic Details
Main Author: Uhlig, Paul Xavier
Other Authors: Cox, Steve J.
Format: Others
Language:English
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/1911/19224