Stability For a Multidimensional Inverse Spectral Theorem
Govanni Alessandrini; John Sylvester; Sun, Z.; Govanni Alessandrini, ; Dipartimento di Matematica "Vito Volterra", Facolta' di Ingegneria Universita' di Ancona; John Sylvester, ; Mathematics Department GN–50, University of Wasington; Sun, Z.; Mathematics Department GN–50, University of Wasington
Журнал:
Communications in Partial Differential Equations
Дата:
1990
Аннотация:
We consider the eigenvalue problem in Ω Where Ω is a bounded domain in R<sup>d</sup> 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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