Mihai Pascu

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

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)

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)