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**
Mihai Pascu
**

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Address:

Institute of Mathematics of the Romanian Academy

P.O. Box 1-764, RO-70700 Bucharest, Romania

*phone:* (401) 650 05 92

*fax:* (401) 222 98 26

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Academic Degree:

PhD. In Mathematics (1991)

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Current Position:

Senior Researcher at the Institute of
Mathematics of the Romanian Academy, Bucharest

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Workgroup:

Differential Equations and
Optimal Control; Mathematical Physics and Partial Differential Equations

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Field of Activity:

Partial Differential Equations - Applications to Quantum Mechanics

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Research Activity:

- Study of the regularity of solutions of partial differential
equations
- Study of the completeness of wave operators associated to perturbations of
partial differential operators with constant coefficients

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Fields of Interest:

- Spectral properties of
*Schrodinger* operators and, more
generaly, of partial differential operators; scattering theory
- Applications of
*Monte Carlo* methods and of statistics theory in
reliability theory (parameters estimation, bathtub models)

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Publications:

*Hypoelliptic operators in Denjoy-Carleman classes*, Rev. Roumaine
Math. Pures Appl., 30 (1985), 131-145
*The existence and the asymptotic completeness of wave operators
associated to some elliptic pseudodifferential operators*
Rev. Roumaine Math. Pures Appl., 33 (1988), 483-493
(with **G. Arsu**)
*A time dependent proof of the asymptotic completeness for simply
characteristic operators and general short range perturbations*,
Rev. Roumaine Math. Pures Appl., 34 (1989), 317-328
*Asymptotic completeness of the wave operators for simply
characteristic opertors and long-range potentials by Enss' method*,
J. Diff. Equations., 89 (1991), 154-175
*Some remarks on the proof of asymptotic completeness for
long-range magnetic fields*, Rev.Roumaine Math. Pures Appl., 38(1993),
853-860
*Existence of wave operators for a class of Stark like
Hamiltonians*, Rev. Roumaine Math. Pures Appl., 41 (1996),
273-280
*Global resolvent estimates for multiplication operators*
J. Operator Theory, 36 (1996), 283-294 (with **M. Mantoiu**)
*On failure rate estimation - parametric models for the
bathtub*, Proceedings of the First International Conference on
Mathematical Methods in Reliability, 16-19 September 1997, Bucharest,
Romania, 332-338 (with **C. Dumitru**, **H.
Loyer** and **I. Vaduva**)

Mihai.Pascu@imar.ro