Estimate on the fundamental frequency of a drum
Michael E. Taylor
Source: Duke Math. J. Volume 46, Number 2
(1979), 447-453.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077313411
Mathematical Reviews number (MathSciNet): MR534061
Zentralblatt MATH identifier: 0418.35068
Digital Object Identifier: doi:10.1215/S0012-7094-79-04620-9
References
[1] A. Friedman, Partial differential equations of parabolic type, Prentice-Hall Inc., Englewood Cliffs, N.J., 1964.
Mathematical Reviews (MathSciNet): MR31:6062
Zentralblatt MATH: 0144.34903
[2] W. Hayman, Some bounds for principal frequency, Applicable Analysis, to appear.
Mathematical Reviews (MathSciNet): MR492339
Digital Object Identifier: doi:10.1080/00036817808839195
[3] N. S. Landkof, Foundations of Modern Potential Theory, Springer-Verlag, New York, 1972.
Mathematical Reviews (MathSciNet): MR50:2520
Zentralblatt MATH: 0253.31001
[4] R. Osserman, A note on Hayman's theorem on the bass note of a drum, Comment. Math. Helv. 52 (1977), no. 4, 545–555.
Mathematical Reviews (MathSciNet): MR56:17297
Zentralblatt MATH: 0374.52008
Digital Object Identifier: doi:10.1007/BF02567388
[5] M. Taylor, Scattering length and perturbations of $-D$ by positive potentials, J. Math. Anal. Appl. 53 (1976), no. 2, 291–312.
Mathematical Reviews (MathSciNet): MR57:17028
Zentralblatt MATH: 0336.31005
Digital Object Identifier: doi:10.1016/0022-247X(76)90112-8
[6] M. Tsuji, Potential theory in modern function theory, Maruzen Co. Ltd., Tokyo, 1959.
Mathematical Reviews (MathSciNet): MR22:5712
Zentralblatt MATH: 0087.28401
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