The geometrical analysis of structure of spacelike, timelike and with sign-variable metric surfaces in pseudoeuclidean spaces; conditions of parabolicity of conformal type and its applications; alternating and degenerate Beltrami equation.
Biography
In 1994 he graduated from the mathematical
department of Volgograd State University
(Volgograd, Russia) and became a postgraduate
of this University (1994–1997, his
supervisor is Professor V.M. Miklukov).
His area of research interests are belongs to
the geometrical analysis. The results of his
work in this period were dealed with the
problem on parabolicity of conformal type for
the two-dimensional metrics on abstract
surfaces; the structure of two-dimensional
ZMC-surfaces in pseudoeuclidean space and
applications to nonlinear PDE with them
connected.
He defended his PhD thesis "On problem of
conformal type of submanifolds in
pseudoeuclidean spaces" in 2000 (Kazan State
University). From 1994 until 2006 he was an
docent (associated professor) of Volgograd
State University (from 1994 until 2003 in
department of mathematical analysis and
functions theory, from 2003 until 2006 in
department of Computer science and
Experimental mathematics).
Now his scientific interests include following groups of questions: the geometrical structure of spacelike, timelike and with sign-variable metric surfaces in pseudoeuclidean spaces; conditions of parabolicity of conformal type and its applications; alternating and degenerate Beltrami equation.
Main publications:
A. N. Kondrashov, “Isothermic coordinates on irregular sewing surfaces”, Sib. Èlektron. Mat. Izv., 15 (2018), 658–676
A. N. Kondrashov, “On the theory of degenerate alternating Beltrami equations”, Sibirsk. Mat. Zh., 53:6 (2012), 1321–1337; Siberian Math. J., 53:6 (2012), 1061–1074
A.N. Kondrashov, "Systems of zero mean curvature type", Vestnik VolSU. Vol. 10, 2006. p. 22-39. (in Russian)
A.N. Kondrashov, "On the Difference of Functions with Timelike Graphs", Doklady Mathematics, Vol. 74, No. 1, 2006, p. 491-493.
A. N. Kondrashov, "Two-dimensional minimal surfaces in pseudo-Euclidean space", (Russian) Dokl. Akad. Nauk 365 (1999), no. 3, 319–321.
A. N. Kondrashov, “On the asymptotics of solutions of elliptic equations at the ends
of non-compact Riemannian manifolds with metrics of a special form”, Izv. RAN. Ser. Mat., 83:2 (2019), 97–125; Izv. Math., 83:2 (2019), 287–314
2018
2.
A. N. Kondrashov, “Isothermic coordinates on irregular sewing surfaces”, Sib. Èlektron. Mat. Izv., 15 (2018), 658–676
2017
3.
A. N. Kondrashov, “On Beltrami equations with a different-type of degeneracy on an arc”, Mathematical Physics and Computer Simulation, 20:5 (2017), 5–16
2016
4.
A. N. Kondrashov, “Isothermic coordinates on sewing surfaces”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 6(37), 70–80
A. N. Kondrashov, “On the theory of degenerate alternating Beltrami equations”, Sibirsk. Mat. Zh., 53:6 (2012), 1321–1337; Siberian Math. J., 53:6 (2012), 1061–1074
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