On recovering density in a plane domain from incomplete spectral data |
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| Authors: | A. S. Starkov |
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| Affiliation: | (1) Department of Mathematics, University of South Florida, 4202 E. Fowler Ave PHY 114, Tampa, FL, 33620-5700, U.S.A;(2) Department of Mathematics, University of California, Santa Barbara, CA, 93106, U.S.A;(3) Department of Mathematics, The Royal Institute of Technology, 100 44 Stockholm, Sweden |
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| Abstract: | The inverse spectral problem of recovering density in a bounded domain is considered. The first N eigenvalues and traces on the boundary of the normal derivatives of the eigenfunctions of the Dirichlet problem are considered as the input data. It is shown that the error of the density recovery does not exceed cln– N, where c and are certain positive constants.Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 239, 1997, pp. 218–224. |
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