Gruia Arsu

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

Academic Degree:

PhD. In Mathematics (1991)

Current Position:

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

Workgroup:

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

Field of Activity:

Partial Differential Equations - Applications to Quantum Mechanics

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

Fields of Interest:

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

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