Nicolai V. Krylov
Applied Mathematics · 2000–2021
A researcher in the Science corpus: 21 papers; trusts 33 researchers and is trusted by 57 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 52 citations into it; #354 of 7,620 by trust here, #388 by citations
- Computational Theory and Mathematics — 40 citations into it; #388 of 12,182 by trust here, #683 by citations
- Finance — 33 citations into it; #2,159 of 10,518 by trust here, #2,951 by citations
- Mathematical Physics — 31 citations into it; #541 of 8,562 by trust here, #672 by citations
- Numerical Analysis — 10 citations into it; #1,338 of 3,586 by trust here, #1,448 by citations
- Control and Systems Engineering — 8 citations into it; #392 of 8,257 by trust here, #822 by citations
- Computational Mechanics — 5 citations into it
Whom Nicolai V. Krylov trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Sun-Sig Byun
- Vladimir Bogachev
- Rodrigo Bañuelos
- Wendell H. Fleming
- Luis Escauriaza
- Robert Haller-Dintelmann
- Harold J. Kushner
- Krzysztof Bogdan
- Michael Röckner
- Zdzisław Brzeźniak
Who trusts Nicolai V. Krylov overall
- Hongjie Dong
- Doyoon Kim
- Franco Flandoli
- Xicheng Zhang
- Espen Robstad Jakobsen
- Vladimir Bogachev
- Sun-Sig Byun
- Michael Röckner
- Longjie Xie
- Jun Geng
Papers from Nicolai V. Krylov's perspective
Ordered by how strongly the researchers Nicolai V. Krylov trusts endorse each paper. Same corpus, a different order for every researcher.
- Analytic Semigroups and Optimal Regularity in Parabolic Problems
- ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
- A Generalization of Khasminskii's Theorem on the Existence of Invariant Measures for Locally Integrable Drifts
- Elliptic equations for invariant measures on finite and infinite dimensional manifolds
- Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains
- Analytical Methods for Markov Semigroups
- Elliptic equations for measures on infinite dimensional spaces and applications
- Ergodicity for the 3D stochastic Navier–Stokes equations
- Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
Their papers
- Strong solutions of stochastic equations with singular time dependent drift (2005) — 540 citations
- On the rate of convergence of finite-difference approximations for Bellmans equations with variable coefficients (2000) — 213 citations
- Second-order elliptic equations with variably partially VMO coefficients (2008) — 73 citations
- ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS (2001) — 263 citations
- Elliptic and parabolic equations for measures (2009) — 135 citations
- On weak uniqueness for some diffusions with discontinuous coefficients (2004) — 67 citations
- Introduction to the Theory of Random Processes (2002) — 451 citations
- Elliptic and Parabolic Second-Order PDEs with Growing Coefficients (2008) — 81 citations
- On the Rate of Convergence of Splitting-up Approximations for SPDEs (2003) — 63 citations
- Parabolic Equations with Measurable Coefficients (2006) — 84 citations
- Existence of strong solutions for It\^o's stochastic equations via approximations. Revisited (2021) — 151 citations
- Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations (2018) — 65 citations
- Fokker-planck-kolmogorov Equations (2015) — 376 citations
- A relatively short proof of Itô’s formula for SPDEs and its applications (2012) — 82 citations
- On the Itô–Wentzell formula for distribution-valued processes and related topics (2011) — 92 citations
- Itô’s formula for the Lp-norm of stochastic $${W^{1}_{p}}$$ -valued processes (2008) — 92 citations
- Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms (2007) — 125 citations
- The Rate of Convergence of Finite-Difference Approximations for Parabolic Bellman Equations with Lipschitz Coefficients in Cylindrical Domains (2007) — 51 citations
- Parabolic and Elliptic Equations with VMO Coefficients (2005) — 297 citations
- On the splitting-up method and stochastic partial differential equations (2003) — 133 citations