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**
Gruia Arsu
**

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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
- Spectral analysis for simply characteristic operators by
*Mourre*'s method

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Fields of Interest:

- Spectral properties of
*Schrodinger* operators and, more
generaly, of partial differential operators; scattering theory
- Harmonic analysis on groups and representations

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Publications:

*On the regularity of the solutions of the transmission problems
I*, Rev. Roumaine Math. Pures Appl. 30, No. 3 (1985), 173-193
*On the regularity of the solutions of the transmission problems
II. Gevrey classes and hypoelliptic transmission problems*,
Rev. Roumaine Math. Pures Appl. 30, No. 5 (1985), 313-325
*The existence and the asymptotic completeness
of wave operators associated to some elliptic pseudodifferential
operators*, Rev. Roumaine Math. Pures Appl. 33, No. 6 (1988), 483-493
(With **M. Pascu**)
*A time dependent scattering theory for strongly propagative
systems with perturbations of short-range class*, Rev. Roumaine
Math. Pures Appl. 34, No. 7 (1989), 595-603
*Spectral analysis for simply characteristic operators by Mourre's
method. I*, Operator Theory; Advances and Applications, Vol. 43 (1990),
Birkhäuser Verlag, Basel
*Spectral analysis for simply characteristic operators by Mourre's
method. II*, J. Operator Theory 29 (1993), 287-305
*Spectral analysis for simply characteristic operators by Mourre's
method. III*, J. Operator Theory 33 (1995), 177-187

Gruia.Arsu@imar.ro