An extension of the Thomson principle
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- by A. W. J. Stoddart PDF
- Proc. Amer. Math. Soc. 29 (1971), 561-564 Request permission
Abstract:
The classical Thomson principle, giving lower bounds for the Dirichlet integral, is extended, with modification, to a wider class of test functions. This makes it possible to obtain simpler and better lower bounds.References
- L. E. Payne, Isoperimetric inequalities and their applications, SIAM Rev. 9 (1967), 453–488. MR 218975, DOI 10.1137/1009070
- G. Pólya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics, Annals of Mathematics Studies, No. 27, Princeton University Press, Princeton, N. J., 1951. MR 0043486
- A. W. J. Stoddart, Estimation of optimality for multidimensional control systems, J. Optim. Theory Appl. 3 (1969), 385–391. MR 246680, DOI 10.1007/BF00929354
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 561-564
- MSC: Primary 26.70; Secondary 31.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0277678-0
- MathSciNet review: 0277678