[ Home ] [ About Us ] [ Research ] [ People ] [ Publications ] [ News ] [ Other Info ] [ Impressum ]
Sfb288 logo Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 597


Remark on the Dirichlet and Neumann eigenvalues

E. Korotyaev

We describe all potentials on the unit interval with the same Dirichlet and Neumann eigenvalues (or with the same eigenvalues for 2 types of mixed boundary conditions). Moreover, we obtain two-sided a priori estimates of potential in terms of these spectrum and provide a formula which recovers the potential. This generalizes a recent paper by V. Pierce.


No PostScript version available.


Copyright © 1999 Sfb 288, Mathematics 8-5, Strasse des 17 Juni 136, TU-Berlin, 10623 Berlin
[ Home ] [ About Us ] [ Research ] [ People ] [ Publications ] [ News ] [ Other Info ] [ Impressum ]