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The geometry of an eigenvalue problem

โœ Scribed by M.J Kaiser

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
446 KB
Volume
11
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

The geometry of an eigenvalue problem associated with the classical Dirichlet problem is illustrated using constructive geometric techniques. Based on a result of Guggenheimer, a geometric optimization problem defined over a convex domain is formulated and solved, and provides a measure of deviation of the domain from circular shape. An extension of the formulation is suggested and illustrated through example.

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