NDLI: Free membrane eigenvalues

Content Provider	Springer Nature Link
Author	Dittmar, Bodo
Copyright Year	2007
Abstract	For a simply connected and normalized domain D in the plane it was proven by Pólya and Schiffer in 1954 for the fixed membrane eigenvalues $$\sum \limits^{n}_{1} \frac{1}{{\lambda}_j} \geq \sum \limits^{n}_{1} \frac{1}{{\lambda}^{(0)}_j}$$ for any n, where λj(0) are the fixed membrane eigenvalues of the unit disk. The purpose of this paper is to prove an analog inequality for the free membrane eigenvalues.
Ending Page	568
Page Count	4
Starting Page	565
File Format	PDF
ISSN	00442275
e-ISSN	14209039
Journal	Zeitschrift für angewandte Mathematik und Physik
Issue Number	3
Volume Number	60
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2007-11-24
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Estimation of eigenvalues, upper and lower bounds Mathematical Methods in Physics Theoretical and Applied Mechanics isoperimetric inequalities
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Physics and Astronomy

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Free membrane eigenvalues