Stability For a Multidimensional Inverse Spectral Theorem |
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| Authors: | Govanni Alessandrini John Sylvester Z. Sun |
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| Affiliation: | 1. Dipartimento di Matematica "Vito Volterra" , Facolta' di Ingegneria Universita' di Ancona , Italy;2. Mathematics Department GN–50 , University of Wasington , Seattle, Washington, 98195 |
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| Abstract: | We consider the eigenvalue problem in Ω Where Ω is a bounded domain in Rd with smooth boundary,a nd q is a bounded, measurable function on Ω The eigenvalue problem has discrete spectrum; we denote by and a nondecreasing sequence of eigenvalue and corresponding (orthonormal) eigenfunctions. It is known ([N–S–U]) that knowledge of the eigenvalues and the boundary values of the normal derivatives of the corresponding eigenfunctions is sufficient to uniquely determine a coefficient, q. |
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