Sergei E. Kuznetsov
Affiliations: | Mathematics | University of Colorado, Boulder, Boulder, CO, United States |
Area:
MathematicsGoogle:
"Sergei Kuznetsov"Parents
Sign in to add mentor| Eugene Borisovich Dynkin | grad student | Academy of Sciences, USSR (Neurotree) | ||
| (http://pi.math.cornell.edu/~ebd/edst.html) | ||||
Children
Sign in to add trainee| Timothy Schumacher | grad student | 2008 | CU Boulder |
| Xiaorong Liu | grad student | 2013-2016 | Columbia U |
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Publications
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| Dynkin EB, Kuznetsov SE. (2007) A class of boundary traces for solutions of the equation Lu=ψ(u) Journal of Functional Analysis. 252: 696-709 |
| Dynkin EB, Kuznetsov SE. (2007) Bessel capacities on compact manifolds and their relation to Poisson capacities Journal of Functional Analysis. 242: 281-294 |
| Dynkin EB, Kuznetsov SE. (2004) measures for branching exit Markov systems and their applications to differential equations Probability Theory and Related Fields. 130: 135-150 |
| Dynkin EB, Kuznetsov SE. (2001) Rough Boundary Trace for Solutions of $Lu=\psi{u}$ Theory of Probability and Its Applications. 45: 662-667 |
| Kuznetsov SE. (2000) On Uniqueness of a Solution of $Lu=u^\alpha$ with Given Trace Electronic Communications in Probability. 5: 137-147 |
| Kuznetsov SE. (2000) Removable Singularities for Lu=Ψ(u) and Orlicz Capacities Journal of Functional Analysis. 170: 428-449 |
| Dynkin EB, Kuznetsov SE. (1999) Solutions of a class of semilinear differential equations: trace and singularities on the boundary Operator Theory. 110: 69-80 |
| Dynkin EB, Kuznetsov SE. (1998) Solutions of nonlinear differential equations on a Riemannian manifold and their trace on the Martin boundary Transactions of the American Mathematical Society. 350: 4521-4552 |
| Dynkin EB, Kuznetsov SE. (1998) Trace on the boundary for solutions of nonlinear differential equations Transactions of the American Mathematical Society. 350: 4499-4519 |
| Kuznetsov SE. (1998) σ-Moderate solutions of Lu = uα and fine trace on the boundary Comptes Rendus De L Academie Des Sciences Serie I-Mathematique. 326: 1189-1194 |