Abstract
We give a simple proof for a uniqueness theorem of a multidimensional inverse eigenvalue problem. It consists in the determination of the density distribution of a vibrating body from the knowledge of the eigenvalues and the traces of eigenfunctions on the boundary of the body. In the Neumann eigenvalue problem considered here the boundary information, which corresponds to the zero eigenvalue, consists in the gravitational potential.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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