Sergei Kuznetsov
Associate Professor
Ph.D. Kiev (USSR), 1976
- Office:
- Math 318
- E-mail:
- Sergei.Kuznetsov@colorado.edu
- Mailing address:
- Sergei Kuznetsov
- Department of Mathematics
- University of Colorado at Boulder
- Campus Box 395
- Boulder, CO 80309-0395
- USA
- Phone:
- 303-492-4579
- Fax:
- 303-492-7707
- Research interests:
- Probability, Statistics, Partial Differential Equations
- Personal home page:
- http://spot.colorado.edu/~sek
- Research:
Stochastic processes and their applications to nonlinear partial differential equations.
- Select Publications:
-
Every Markov process in a Borel space has a transition function, Teoriya Veroyatn. i ee Primen. 25 (1980), 389 - 393. English translation in Theor. Prob. Appl., 25 (1981).
Nonhomogeneous Markov processes. Sovremennye Problemy Matematiki 20 (1982), 37-178, VINITI, Moscow. English translation in J.Soviet Math. 25 (1984), 1380 - 1498.
Superdiffusions and removable boundary singularities for quasilinear partial differential equations (with E.B. Dynkin) Comm. Pure Appl. Math. 49 (1996), 125-176.
sigma-moderate solutions of Lu = u^alpha and fine trace on the boundary, C.R. Acad.Sci. Paris (1998), 326 no. 10, 1189-1194.
Fine topology and fine trace on the boundary associated with a class of semilinear differential equations, (with E.B. Dynkin). Comm. Pure Appl. Math. 51 (1998), 897-936.
N-measures for branching exit Markov systems and their applications to differential equations, (with E.B. Dynkin) Probab. Theory Rel. Fields 130 (2004), 135-150.
