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Non-selfadjoint inverse spectral problems and their applications to random bodies. (English) Zbl 0856.35131

Annales Academiæ Scientiarum Fennicæ. Mathematica. Dissertationes. 103. Helsinki: Suomalainen Tiedeakatemia. 108 p. (1995).
The author (in his quite well written thesis) handles nonselfadjoint Schrödinger equations and dissipative Maxwell’s systems. The topics under discussion are definition of spectral data and uniqueness of the coefficients of differential equations with given spectral data. The results about inverse problems are “generic”. The thesis contains an extensive bibliography.
Reviewer: V.Isakov (Wichita)

MSC:

35R30 Inverse problems for PDEs
35J10 Schrödinger operator, Schrödinger equation
35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
35Q60 PDEs in connection with optics and electromagnetic theory
60G60 Random fields
60H25 Random operators and equations (aspects of stochastic analysis)
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