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Safonov, Mikhail V.

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Author ID: safonov.mikhail-v Recent zbMATH articles by "Safonov, Mikhail V."
Published as: Safonov, M.; Safonov, M. V.; Safonov, Mikhail; Safonov, Mikhail V.
Documents Indexed: 42 Publications since 1976

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 500 times in 375 Documents Cited by Year
A certain property of solutions of parabolic equations with measurable coefficients. Zbl 0464.35035
Krylov, N. V.; Safonov, M. V.
74
1981
An estimate of the probability that a diffusion process hits a set of positive measure. Zbl 0459.60067
Krylov, N. V.; Safonov, M. V.
66
1979
Harnack’s inequality for elliptic equations and the Hölder property of their solutions. Zbl 0511.35029
Safonov, M. V.
33
1983
The Harnack inequality for elliptic equations and Hölder property of their solutions. Zbl 0458.35028
Safonov, M. V.
31
1980
The abstract Cauchy-Kovalevskaya theorem in a weighted Banach space. Zbl 0836.35004
Safonov, M. V.
29
1995
Non-divergence elliptic equations of second order with unbounded drift. Zbl 1208.35028
Safonov, M. V.
28
2010
Behavior near the boundary of positive solutions of second order parabolic equations. II. Zbl 0976.35031
Fabes, E. B.; Safonov, M. V.; Yuan, Yu
28
1999
Behavior near the boundary of positive solutions of second order parabolic equations. Zbl 0939.35082
Fabes, E. B.; Safonov, M. V.
26
1997
Nonuniqueness for second-order elliptic equations with measurable coefficients. Zbl 0924.35004
Safonov, Mikhail V.
25
1999
On the classical solution of nonlinear elliptic equations of second order. Zbl 0682.35048
Safonov, M. V.
20
1989
Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations. Zbl 1139.35046
Húska, Juraj; Poláčik, Peter; Safonov, Mikhail V.
17
2007
On the classical solution of Bellman’s elliptic equation. Zbl 0595.35011
Safonov, M. V.
14
1984
Growth theorems and Harnack inequality for second order parabolic equations. Zbl 1009.35013
Ferretti, E.; Safonov, M. V.
13
2001
Doubling properties for second order parabolic equations. Zbl 1157.35391
Safonov, Mikhail V.; Yuan, Yu
13
1999
On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations. Zbl 1153.35039
Dong, Hongjie; Kim, Seick; Safonov, Mikhail
12
2008
Estimates near the boundary for solutions of second order parabolic equations. Zbl 0910.35025
Safonov, Mikhail
11
1998
Unimprovability of estimates of Hölder constants for solutions of linear elliptic equations with measurable coefficients. Zbl 0656.35027
Safonov, M. V.
11
1988
On a weak uniqueness for some elliptic equations. Zbl 0803.35030
Safonov, M. V.
7
1994
Hölder regularity of solutions to second-order elliptic equations in nonsmooth domains. Zbl 1159.35019
Cho, Sungwon; Safonov, Mikhail
5
2007
Eine gewisse Eigenschaft der Lösungen parabolischer Gleichungen mit meßbaren Koeffizienten. Zbl 0439.35023
Krylov, N. V.; Safonov, M. V.
5
1980
On the oblique derivative problem for second order elliptic equations. Zbl 0841.35035
Safonov, M. V.
4
1995
Principal eigenvalues, spectral gaps and exponential separation between positive and sign-changing solutions of parabolic equations. Zbl 1152.35391
Húska, J.; Poláčik, P.; Safonov, M. V.
3
2005
Smoothness of solutions of elliptic Bellman equations near the boundary. Zbl 0596.35029
Safonov, M. V.
3
1985
On the Dirichlet problem for Bellman’s equation in a plane domain. Zbl 0386.93059
Safonov, M. V.
3
1977
On the boundary estimates for second-order elliptic equations. Zbl 1391.35088
Safonov, M. V.
2
2018
Carleson type estimates for second order elliptic equations with unbounded drift. Zbl 1290.35048
Kim, H.; Safonov, M.
2
2011
Mean value theorems and Harnack inequalities for second-order parabolic equations. Zbl 1029.35048
Safonov, Mikhail V.
2
2002
On a problem suggested by A. D. Wentzell. Zbl 0826.35013
Krylov, N. V.; Safonov, M. V.
2
1994
On the Dirichlet problem for Bellman’s equation in a plane domain. II. Zbl 0442.35036
Safonov, M. V.
2
1978
On second order elliptic and parabolic equations of mixed type. Zbl 1368.35052
Chen, Gong; Safonov, Mikhail
1
2017
Narrow domains and the Harnack inequality for elliptic equations. Zbl 1359.35023
Safonov, M. V.
1
2016
The boundary Harnack principle for second order elliptic equations in John and uniform domains. Zbl 1311.35042
Kim, H.; Safonov, M.
1
2014
Boundary Harnack principle for second order elliptic equations with unbounded drift. Zbl 1291.35047
Kim, H.; Safonov, M.
1
2011
Control of a diffusion process in a region with fixed reflection on the boundary. Zbl 0753.93080
Anulova, S. V.; Safonov, M. V.
1
1989
Smoothness near the boundary of the solutions of the elliptic Bellman equations. Zbl 0614.35024
Safonov, M. V.
1
1987
On the Dirichlet problem for Bellman’s equation in a multidimensional domain. Zbl 0481.93065
Safonov, M. V.
1
1980
On the Dirichlet problem for the Bellman equation in a plane domain. Zbl 0407.35042
Safonov, M. V.
1
1978
Über das Dirichletproblem für die Bellmansche Gleichung in einem ebenen Gebiet. Zbl 0347.93050
Safonov, M. V.
1
1977
On the boundary estimates for second-order elliptic equations. Zbl 1391.35088
Safonov, M. V.
2
2018
On second order elliptic and parabolic equations of mixed type. Zbl 1368.35052
Chen, Gong; Safonov, Mikhail
1
2017
Narrow domains and the Harnack inequality for elliptic equations. Zbl 1359.35023
Safonov, M. V.
1
2016
The boundary Harnack principle for second order elliptic equations in John and uniform domains. Zbl 1311.35042
Kim, H.; Safonov, M.
1
2014
Carleson type estimates for second order elliptic equations with unbounded drift. Zbl 1290.35048
Kim, H.; Safonov, M.
2
2011
Boundary Harnack principle for second order elliptic equations with unbounded drift. Zbl 1291.35047
Kim, H.; Safonov, M.
1
2011
Non-divergence elliptic equations of second order with unbounded drift. Zbl 1208.35028
Safonov, M. V.
28
2010
On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations. Zbl 1153.35039
Dong, Hongjie; Kim, Seick; Safonov, Mikhail
12
2008
Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations. Zbl 1139.35046
Húska, Juraj; Poláčik, Peter; Safonov, Mikhail V.
17
2007
Hölder regularity of solutions to second-order elliptic equations in nonsmooth domains. Zbl 1159.35019
Cho, Sungwon; Safonov, Mikhail
5
2007
Principal eigenvalues, spectral gaps and exponential separation between positive and sign-changing solutions of parabolic equations. Zbl 1152.35391
Húska, J.; Poláčik, P.; Safonov, M. V.
3
2005
Mean value theorems and Harnack inequalities for second-order parabolic equations. Zbl 1029.35048
Safonov, Mikhail V.
2
2002
Growth theorems and Harnack inequality for second order parabolic equations. Zbl 1009.35013
Ferretti, E.; Safonov, M. V.
13
2001
Behavior near the boundary of positive solutions of second order parabolic equations. II. Zbl 0976.35031
Fabes, E. B.; Safonov, M. V.; Yuan, Yu
28
1999
Nonuniqueness for second-order elliptic equations with measurable coefficients. Zbl 0924.35004
Safonov, Mikhail V.
25
1999
Doubling properties for second order parabolic equations. Zbl 1157.35391
Safonov, Mikhail V.; Yuan, Yu
13
1999
Estimates near the boundary for solutions of second order parabolic equations. Zbl 0910.35025
Safonov, Mikhail
11
1998
Behavior near the boundary of positive solutions of second order parabolic equations. Zbl 0939.35082
Fabes, E. B.; Safonov, M. V.
26
1997
The abstract Cauchy-Kovalevskaya theorem in a weighted Banach space. Zbl 0836.35004
Safonov, M. V.
29
1995
On the oblique derivative problem for second order elliptic equations. Zbl 0841.35035
Safonov, M. V.
4
1995
On a weak uniqueness for some elliptic equations. Zbl 0803.35030
Safonov, M. V.
7
1994
On a problem suggested by A. D. Wentzell. Zbl 0826.35013
Krylov, N. V.; Safonov, M. V.
2
1994
On the classical solution of nonlinear elliptic equations of second order. Zbl 0682.35048
Safonov, M. V.
20
1989
Control of a diffusion process in a region with fixed reflection on the boundary. Zbl 0753.93080
Anulova, S. V.; Safonov, M. V.
1
1989
Unimprovability of estimates of Hölder constants for solutions of linear elliptic equations with measurable coefficients. Zbl 0656.35027
Safonov, M. V.
11
1988
Smoothness near the boundary of the solutions of the elliptic Bellman equations. Zbl 0614.35024
Safonov, M. V.
1
1987
Smoothness of solutions of elliptic Bellman equations near the boundary. Zbl 0596.35029
Safonov, M. V.
3
1985
On the classical solution of Bellman’s elliptic equation. Zbl 0595.35011
Safonov, M. V.
14
1984
Harnack’s inequality for elliptic equations and the Hölder property of their solutions. Zbl 0511.35029
Safonov, M. V.
33
1983
A certain property of solutions of parabolic equations with measurable coefficients. Zbl 0464.35035
Krylov, N. V.; Safonov, M. V.
74
1981
The Harnack inequality for elliptic equations and Hölder property of their solutions. Zbl 0458.35028
Safonov, M. V.
31
1980
Eine gewisse Eigenschaft der Lösungen parabolischer Gleichungen mit meßbaren Koeffizienten. Zbl 0439.35023
Krylov, N. V.; Safonov, M. V.
5
1980
On the Dirichlet problem for Bellman’s equation in a multidimensional domain. Zbl 0481.93065
Safonov, M. V.
1
1980
An estimate of the probability that a diffusion process hits a set of positive measure. Zbl 0459.60067
Krylov, N. V.; Safonov, M. V.
66
1979
On the Dirichlet problem for Bellman’s equation in a plane domain. II. Zbl 0442.35036
Safonov, M. V.
2
1978
On the Dirichlet problem for the Bellman equation in a plane domain. Zbl 0407.35042
Safonov, M. V.
1
1978
On the Dirichlet problem for Bellman’s equation in a plane domain. Zbl 0386.93059
Safonov, M. V.
3
1977
Über das Dirichletproblem für die Bellmansche Gleichung in einem ebenen Gebiet. Zbl 0347.93050
Safonov, M. V.
1
1977
all top 5

Cited by 433 Authors

12 Krylov, Nicolaĭ Vladimirovich
11 Nyström, Kaj
10 Safonov, Mikhail V.
8 Dong, Hongjie
8 Kim, Doyoon
7 Lieberman, Gary M.
6 Cho, Sungwon
5 Kassmann, Moritz
5 Lee, Ki-Ahm
5 Teixeira, Eduardo V. O.
5 Trudinger, Neil Sidney
5 Wang, Lihe
5 Zheng, Shenzhou
4 Bass, Richard F.
4 DiBenedetto, Emmanuele
4 Fabes, Eugene B.
4 Grimaldi-Piro, Anna
4 Húska, Juraj
4 Ivochkina, Nina Mikhaĭlovna
4 Lions, Pierre-Louis
4 Maldonado, Diego
4 Mierczyński, Janusz
4 Moreira, Diego R.
4 Nazarov, Alexander I.
4 Poláčik, Peter
4 Quaas, Alexander
4 Salsa, Sandro
4 Shen, Wenxian
4 Zhang, Zhijun
3 Alazard, Thomas
3 Argiolas, Roberto
3 Avelin, Benny
3 Braga, J. Ederson M.
3 Buonocore, Pasquale
3 Byun, Sun-Sig
3 Cesaroni, Annalisa
3 Delarue, François
3 Ferrari, Fausto
3 Giannotti, Cristina
3 Imbert, Cyril
3 Kim, Soojung
3 Kim, Yong-Cheol
3 Li, Dongsheng
3 Liang, Shuang
3 Lombardo, Maria Carmela
3 Manselli, Paolo
3 Pagliarani, Stefano
3 Pascucci, Andrea
3 Pinchover, Yehuda
3 Polidoro, Sergio
3 Rossi, Luca
3 Saloff-Coste, Laurent
3 Sande, Olow
3 Shaposhnikov, Stanislav V.
3 Silvestre, Luis E.
3 Stroock, Daniel W.
3 Ural’tseva, Nina Nikolaevna
3 Wang, Xu-Jia
3 Wu, Xinglong
3 Zhang, Kai
3 Zubelevich, Oleg Éduardovich
2 Araújo, Damião J.
2 Banerjee, Agnid
2 Bardi, Martino
2 Benzoni-Gavage, Sylvie
2 Berestycki, Henri
2 Bonforte, Matteo
2 Bu, Zhenhui
2 Burq, Nicolas
2 Caffarelli, Luis Ángel
2 Caflisch, Russel E.
2 Cerutti, M. Cristina
2 Charro, Fernando
2 Chen, Gong
2 Choi, Jongkeun
2 Collet, Pierre
2 Coulombel, Jean-François
2 da Silva, João Vítor
2 Dávila, Gonzalo
2 Dindoš, Martin
2 Epstein, Charles Lawrence
2 Evans, Lawrence Craig
2 Feng, Xiaobing
2 Figalli, Alessio
2 Freidlin, Mark I.
2 Friesen, Martin
2 Gallistl, Dietmar
2 García-Melián, Jorge
2 Garofalo, Nicola
2 Huang, Yongpan
2 Ishii, Hitoshi
2 Ivaki, Mohammad N.
2 Julin, Vesa
2 Kim, Hojeong
2 Kogut, Peter I.
2 Kovats, Jay
2 Kutoviy, Oleksandr V.
2 Kuusi, Tuomo
2 Kwong, Ying-Chuen
2 Ladyzhenskaya, Ol’ga Aleksandrovna
...and 333 more Authors
all top 5

Cited in 113 Serials

30 Journal of Differential Equations
18 Journal of Functional Analysis
16 Transactions of the American Mathematical Society
14 Archive for Rational Mechanics and Analysis
13 Journal of Mathematical Analysis and Applications
12 Potential Analysis
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Communications in Partial Differential Equations
10 Journal of Mathematical Sciences (New York)
9 Proceedings of the American Mathematical Society
8 Calculus of Variations and Partial Differential Equations
7 Advances in Mathematics
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Probability Theory and Related Fields
6 Stochastic Processes and their Applications
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Duke Mathematical Journal
5 Mathematische Zeitschrift
5 The Journal of Geometric Analysis
5 Journal of Dynamics and Differential Equations
5 St. Petersburg Mathematical Journal
5 NoDEA. Nonlinear Differential Equations and Applications
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 The Annals of Probability
4 Inventiones Mathematicae
4 Journal of Soviet Mathematics
4 Manuscripta Mathematica
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Communications on Pure and Applied Analysis
3 Communications on Pure and Applied Mathematics
3 Mathematische Annalen
3 SIAM Journal on Numerical Analysis
3 SIAM Journal on Mathematical Analysis
3 Doklady Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Analysis & PDE
3 Nonlinear Analysis. Theory, Methods & Applications
2 Communications in Mathematical Physics
2 Journal d’Analyse Mathématique
2 Lithuanian Mathematical Journal
2 Mathematics of Computation
2 Memoirs of the American Mathematical Society
2 SIAM Journal on Control and Optimization
2 Siberian Mathematical Journal
2 Acta Applicandae Mathematicae
2 Revista Matemática Iberoamericana
2 Asymptotic Analysis
2 The Annals of Applied Probability
2 Discrete and Continuous Dynamical Systems
2 The Journal of Fourier Analysis and Applications
2 Finance and Stochastics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Journal of the European Mathematical Society (JEMS)
2 Nonlinear Analysis. Real World Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Advanced Nonlinear Studies
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Boundary Value Problems
2 Complex Variables and Elliptic Equations
2 Science China. Mathematics
2 Analysis and Mathematical Physics
1 Bulletin of the Australian Mathematical Society
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Nonlinearity
1 Russian Mathematical Surveys
1 Stochastics
1 Arkiv för Matematik
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Journal of Economic Theory
1 Journal of the Korean Mathematical Society
1 Mathematische Nachrichten
1 Mathematika
1 Rendiconti del Seminario Matematico della Università di Padova
1 Acta Mathematicae Applicatae Sinica. English Series
1 Information and Computation
1 Journal of Theoretical Probability
1 Journal of Scientific Computing
1 Forum Mathematicum
1 International Journal of Mathematics
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Russian Journal of Mathematical Physics
1 Electronic Journal of Differential Equations (EJDE)
1 Selecta Mathematica. New Series
1 Electronic Journal of Probability
1 Electronic Communications in Probability
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Positivity
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Journal of Mathematical Fluid Mechanics
1 Annals of Mathematics. Second Series
1 Communications in Contemporary Mathematics
1 Differential Equations
1 Journal of Evolution Equations
...and 13 more Serials

Citations by Year