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The imposition of linear constraints upon eigenvalue problems

✍ Scribed by George S. Handler; Carl Trindle


Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
227 KB
Volume
3
Category
Article
ISSN
0192-8651

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✦ Synopsis


Abstract

A simple method of imposing linear constraints upon an eigenvalue problem is described that reduces the dimension of the problem by the number of constraints imposed. Several applications are outlined.


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## Abstract For domains with concave corners, the solutions to elliptic boundary values have the typical r^Ξ±^‐singularity. The so‐called __singularity exponents__ Ξ± are the eigenvalues of an eigenvalue problem which is associated with the given boundary value problem. This paper is aimed at derivin