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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 218–224
(Mi znsl458)
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On recovering of the density in the plane domain from incomplete spectral data
A. S. Starkov St. Peterburg State Academy of Cool and Food Tecnologes
Abstract:
An inverse spectral problem of the density recovering is considered. The first $N$ eigenvalues and traces on the boundary of the normal derivatives of eigenfunctions for Dirichlet problem are chosen as input data. The
theorem that an error in the density approximation is less than $cN^{-\beta}$, with some positive constants $c$ and $\beta$ is proved.
Received: 01.10.1996
Citation:
A. S. Starkov, “On recovering of the density in the plane domain from incomplete spectral data”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 218–224; J. Math. Sci. (New York), 96:4 (1999), 3419–3422
Linking options:
https://www.mathnet.ru/eng/znsl458 https://www.mathnet.ru/eng/znsl/v239/p218
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Abstract page: | 109 | Full-text PDF : | 38 |
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