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On stability of inverse problems of spectral analysis for equations of mathematical physics. (English. Russian original) Zbl 0831.35158
Russ. Math. Surv. 49, No. 3, 183-184 (1994); translation from Usp. Mat. Nauk 49, No. 3(297), 171-172 (1994).
This paper is based on the brilliant work [J. Math. Kyoto Univ. 31, No. 3, 743-753 (1991; Zbl 0753.35121)] of H. Izosaki. A careful analysis of this article led to the formulation and proof of a stability theorem on recovery from inexact spectral data of a potential for the Dirichlet and Neumann boundary-value problems in bounded spatial domains \(\Omega\) with boundary \(S\) of class \(C^2\).
MSC:
35R30 Inverse problems for PDEs
35P05 General topics in linear spectral theory for PDEs
35Q40 PDEs in connection with quantum mechanics
35J10 Schrödinger operator, Schrödinger equation
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