Mikhail V Safonov

1977 …2020

Research output per year

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Research Output

2018

On the boundary estimates for second-order elliptic equations

Safonov, M. V., Aug 3 2018, In : Complex Variables and Elliptic Equations. 63, 7-8, p. 1123-1141 19 p.

Research output: Contribution to journalArticle

2017

On second order elliptic and parabolic equations of mixed type

Chen, G. & Safonov, M., Apr 15 2017, In : Journal of Functional Analysis. 272, 8, p. 3216-3237 22 p.

Research output: Contribution to journalArticle

2016

Narrow domains and the harnack inequality for elliptic equations

Safonov, M. V., Jan 1 2016, In : St. Petersburg Mathematical Journal. 27, 3, p. 509-522 14 p.

Research output: Contribution to journalArticle

2011

Boundary Harnack principle for second order elliptic equations with unbounded drift

Kim, H. & Safonov, M. V., Nov 1 2011, In : Journal of Mathematical Sciences. 179, 1, p. 127-143 17 p.

Research output: Contribution to journalArticle

3 Scopus citations

Carleson type estimates for second order elliptic equations with unbounded drift

Kim, H. & Safonov, M., Aug 1 2011, In : Journal of Mathematical Sciences. 176, 6, p. 928-944 17 p.

Research output: Contribution to journalArticle

3 Scopus citations
2008

On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations

Dong, H., Kim, S. & Safonov, M., Feb 1 2008, In : Communications in Partial Differential Equations. 33, 2, p. 177-188 12 p.

Research output: Contribution to journalArticle

17 Scopus citations
2007
18 Scopus citations

Harnack's estimates: Positivity and local behavior of degenerate and singular parabolic equations

DiBenedetto, E., Gianazza, U., Safonov, M., Urbano, J. M. & Vespri, V., Apr 27 2007, In : Boundary Value Problems. 2007, 42548.

Research output: Contribution to journalEditorial

1 Scopus citations
1999

Behavior near the boundary of positive solutions of second order parabolic equations. II

Fabes, E. B., Safonov, M. V. & Yuan, Y. U., Dec 1 1999, In : Transactions of the American Mathematical Society. 351, 12, p. 4947-4961 15 p.

Research output: Contribution to journalArticle

42 Scopus citations

Doubling properties for second order parabolic equations

Safonov, M. V. & Yuan, Y., Jul 1999, In : Annals of Mathematics. 150, 1, p. 313-327 15 p.

Research output: Contribution to journalArticle

21 Scopus citations

Nonuniqueness for second-order elliptic equations with measurable coefficients

Safonov, M. V., Jan 1 1999, In : SIAM Journal on Mathematical Analysis. 30, 4, p. 879-895 17 p.

Research output: Contribution to journalArticle

35 Scopus citations
1997

Behavior Near the Boundary of Positive Solutions of Second Order Parabolic Equations

Fabes, E. B. & Safonov, M. V., Dec 1 1997, In : Journal of Fourier Analysis and Applications. 3, SPEC. ISS., p. x8-882

Research output: Contribution to journalArticle

29 Scopus citations
1995

On the Oblique Derivative Problem for Second Order Elliptic Equations

Safonov, M. V., Jan 1 1995, In : Communications in Partial Differential Equations. 20, 7-8, p. 1349-1367 19 p.

Research output: Contribution to journalArticle

6 Scopus citations

The abstract cauchy‐kovalevskaya theorem in a weighted banach space

Safonov, M. V., 1995, In : Communications on Pure and Applied Mathematics. 48, 6, p. 629-637 9 p.

Research output: Contribution to journalArticle

28 Scopus citations
1994

On a weak uniqueness for some elliptic equations

Safonov, M. V., Jan 1 1994, In : Communications in Partial Differential Equations. 19, 5-6, p. 943-957 15 p.

Research output: Contribution to journalArticle

12 Scopus citations
1989

On the classical solution of nonlinear elliptic equations of second order

Safonov, M. V., Jun 30 1989, In : Mathematics of the USSR - Izvestija. 33, 3, p. 597-612 16 p.

Research output: Contribution to journalArticle

21 Scopus citations
1988
13 Scopus citations

Smoothness near the boundary of the solutions of the elliptic Bellman equations

Safonov, M. V., Apr 1 1987, In : Journal of Soviet Mathematics. 37, 1, p. 885-888 4 p.

Research output: Contribution to journalArticle

2 Scopus citations
1983

Harnack's inequality for elliptic equations and the Hölder property of their solutions

Safonov, M. V., Mar 1 1983, In : Journal of Soviet Mathematics. 21, 5, p. 851-863 13 p.

Research output: Contribution to journalArticle

35 Scopus citations
1981

A certain property of solutions of parabolic equations with measurable coefficients

Krylov, N. V. & Safonov, M. V., Feb 28 1981, In : Mathematics of the USSR - Izvestija. 16, 1, p. 151-164 14 p.

Research output: Contribution to journalArticle

119 Scopus citations
1978

On the dirichlet problem for bellman's equation in a plane domain. II

Safonov, M. V., Apr 30 1978, In : Mathematics of the USSR - Sbornik. 34, 4, p. 521-526 6 p.

Research output: Contribution to journalArticle

3 Scopus citations
1977

On The Dirichlet Problem for Bellman’s Equation in A Plane Domain

Safonov, M. V., Feb 28 1977, In : Mathematics of the USSR - Sbornik. 31, 2, p. 231-248 18 p.

Research output: Contribution to journalArticle

4 Scopus citations