01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Main publications:
Tedeev, A. F. Initial-boundary value problems for quasilinear degenerate parabolic equations with damping. The Neumann problem. (Russian) Ukrain. Mat. Zh. 58 (2006), no. 2, 272–282;
translation in Ukrainian Math. J. 58 (2006), no. 2, 304–317.
Afanas'eva, N. V.; Tedeev, A. F. Theorems on the existence and nonexistence of solutions to the Cauchy problem for degenerate parabolic equations with a nonlocal source. (Russian) Ukrain. Mat. Zh. 57 (2005), no. 11, 1443–1464; translation in Ukrainian Math. J. 57 (2005), no. 11, 1687–1711.
Andreucci, Daniele; Tedeev, Anatoli F. Universal bounds at the blow-up time for nonlinear parabolic equations. Adv. Differential Equations 10 (2005), no. 1, 89–120.
Andreucci, D.; Tedeev, A. F.; Ughi, M. The Cauchy problem for degenerate parabolic equations with source and damping. Ukr. Mat. Visn. 1 (2004), no. 1, 1–19; translation in Ukr. Math. Bull. 1 (2004), no. 1, 1–23.
Afanaseva, N. V.; Tedeev, A. F. Fujita-type theorems for quasilinear parabolic equations in the case of slowly vanishing initial data. (Russian) Mat. Sb. 195 (2004), no. 4, 3–22;
translation in Sb. Math. 195 (2004), no. 3–4, 459–478.
Tedeev, A. F. Conditions for the time-global existence and nonexistence of a compact support of solutions of the Cauchy problem for quasilinear degenerate parabolic equations.
(Russian) Sibirsk. Mat. Zh. 45 (2004), no. 1, 189–200; translation in Siberian Math. J. 45 (2004), no. 1, 155–164.
Andreucci, D.; Cirmi, G. R.; Leonardi, S.; Tedeev, A. F. Large time behavior of solutions to the Neumann problem for a quasilinear second order degenerate parabolic equation in domains with noncompact boundary. J. Differential Equations 174 (2001), no. 2, 253–288.
Andreucci, Daniele; Tedeev, Anatoli F. Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity. Interfaces Free Bound. 3 (2001), no. 3, 233–264.
Andreucci, Daniele; Tedeev, Anatoli F. Sharp estimates and finite speed of propagation for a Neumann problem in domains narrowing at infinity. Adv. Differential Equations 5 (2000),
no. 7–9, 833–860.
Bonafede, S.; Cirmi, G. R.; Tedeev, A. F. Finite speed of propagation for the porous media equation with lower order terms. Discrete Contin. Dynam. Systems 6 (2000), no. 2, 305–314.
Andreucci, Daniele; Tedeev, Anatoli F. A Fujita type result for a degenerate Neumann problem in domains with noncompact boundary. J. Math. Anal. Appl. 231 (1999), no. 2, 543–567.
Andreucci, Daniele; Tedeev, Anatoli F. Optimal bounds and blow up phenomena for parabolic problems in narrowing domains. Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), no. 6,
1163–1180.
Bonafede, S.; Cirmi, G. R.; Tedeev, A. F. Finite speed of propagation for the porous media equation. SIAM J. Math. Anal. 29 (1998), no. 6, 1381–1398.
Skrypnik, I. I.; Tedeev, A. F. Local estimates for the solution of the Cauchy problem for a second-order quasilinear parabolic equation. The weighted case. I. (Russian) Sibirsk.
Mat. Zh. 38 (1997), no. 1, 193–207, iv; translation in Siberian Math. J. 38 (1997), no. 1, 165–178.
Tedeev, A. F. Local and global properties of solutions of the Cauchy–Dirichlet problem for a second-order quasilinear parabolic equation in an unbounded domain. (Russian) Differ. Uravn. 32 (1996), no. 8, 1071–1077, 1149; translation in Differential Equations
32 (1996), no. 8, 1075–1082.
Al. F. Tedeev, An. F. Tedeev, “Large time decay estimates of the solution to the Cauchy problem of doubly degenerate parabolic equations with damping”, Vladikavkaz. Mat. Zh., 25:1 (2023), 93–104
2022
2.
L. F. Dzagoeva, A. F. Tedeev, “Asymptotic behavior of the solution of doubly degenerate parabolic equations with inhomogeneous density”, Vladikavkaz. Mat. Zh., 24:3 (2022), 78–86
Z. V. Besaeva, A. F. Tedeev, “The decay rate of the solution to the Cauchy problem for doubly nonlinear parabolic equation with absorption”, Vladikavkaz. Mat. Zh., 22:1 (2020), 12–32
2012
4.
A. V. Martynenko, An. F. Tedeev, V. N. Shramenko, “The Cauchy problem for a degenerate parabolic equation with inhomogeneous density and source in the class of slowly decaying initial data”, Izv. RAN. Ser. Mat., 76:3 (2012), 139–156; Izv. Math., 76:3 (2012), 563–580
V. A. Markasheva, An. F. Tedeev, “The Cauchy problem for a quasilinear parabolic equation with gradient absorption”, Mat. Sb., 203:4 (2012), 131–160; Sb. Math., 203:4 (2012), 581–611
V. A. Markasheva, A. F. Tedeev, “Local and Global Estimates of the Solutions of the Cauchy Problem for Quasilinear Parabolic Equations with a Nonlinear Operator of Baouendi–Grushin Type”, Mat. Zametki, 85:3 (2009), 395–407; Math. Notes, 85:3 (2009), 385–396
A. V. Martynenko, A. F. Tedeev, “On the behavior of solutions to the Cauchy problem for a degenerate parabolic equation with inhomogeneous density and a source”, Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008), 1214–1229; Comput. Math. Math. Phys., 48:7 (2008), 1145–1160
S. P. Degtyarev, A. F. Tedeev, “$L_1$–$L_\infty$ estimates of solutions of the Cauchy
problem for an anisotropic degenerate parabolic equation with double
non-linearity and growing initial data”, Mat. Sb., 198:5 (2007), 45–66; Sb. Math., 198:5 (2007), 639–660
A. V. Martynenko, A. F. Tedeev, “Cauchy problem for a quasilinear parabolic equation with a source term and an inhomogeneous density”, Zh. Vychisl. Mat. Mat. Fiz., 47:2 (2007), 245–255; Comput. Math. Math. Phys., 47:2 (2007), 238–248
N. V. Afanasieva, A. F. Tedeev, “Fujita type theorems for quasilinear parabolic equations
with initial data slowly decaying to zero”, Mat. Sb., 195:4 (2004), 3–22; Sb. Math., 195:4 (2004), 459–478
A. F. Tedeev, “Conditions for the time global existence and nonexistence of a compact support of solutions to the Cauchy problem for quasilinear degenerate parabolic equations”, Sibirsk. Mat. Zh., 45:1 (2004), 189–200; Siberian Math. J., 45:1 (2004), 155–164
I. I. Skrypnik, A. F. Tedeev, “Local estimates for the solution of the Cauchy problem for a second-order quasilinear parabolic equation. The weighted case. I”, Sibirsk. Mat. Zh., 38:1 (1997), 193–207; Siberian Math. J., 38:1 (1997), 165–178
A. F. Tedeev, “Local and global properties of solutions of the Cauchy–Dirichlet problem for a second-order quasilinear parabolic equation in an unbounded domain”, Differ. Uravn., 32:8 (1996), 1071–1077; Differ. Equ., 32:8 (1996), 1075–1082
1995
14.
A. F. Tedeev, “Estimate of the rate of stabilization of the solution of the first initial-boundary problem for the equation of a porous medium in an unbounded region”, Mat. Zametki, 57:3 (1995), 473–476; Math. Notes, 57:3 (1995), 329–331
1991
15.
A. F. Tedeev, “Estimates for the rate of stabilization as $t\to\infty$ of the solution of the second mixed problem for a second-order quasilinear parabolic equation”, Differ. Uravn., 27:10 (1991), 1795–1806; Differ. Equ., 27:10 (1991), 1274–1283
A. F. Tedeev, “Stabilization of the solution of the third mixed problem for second-order quasilinear parabolic equations in a noncylindrical domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 1, 63–73; Soviet Math. (Iz. VUZ), 35:1 (1991), 75–87
A. F. Tedeev, “Stabilization of solutions of the first mixed problem for a higher-order quasilinear parabolic equation”, Differ. Uravn., 25:3 (1989), 490–498; Differ. Equ., 25:3 (1989), 346–352
A. F. Tedeev, A. E. Shishkov, “Behavior of solutions and subsolutions of quasilinear parabolic equations in unbounded domains and in the neighborhood of a boundary point”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 9, 77–79; Soviet Math. (Iz. VUZ), 29:9 (1985), 109–113
1984
19.
A. F. Tedeev, A. E. Shishkov, “Qualitative properties of solutions and subsolutions of quasilinear elliptic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 1, 62–68; Soviet Math. (Iz. VUZ), 28:1 (1984), 74–82
E. S. Kamenetskiĭ, R. Ch. Kulaev, A. G. Kusraev, R. M. Mnukhin, R. D. Nedin, A. F. Tedeev, Zh. D. Totieva, O. V. Yavruyan, “Alexander Ovanesovich Vatulyan (on his 70th anniversary)”, Vladikavkaz. Mat. Zh., 25:4 (2023), 143–147
2021
21.
O. G. Avsyankin, M. I. Karyakin, V. V. Kravchenko, A. G. Kusraev, Z. A. Kusraeva, A. F. Tedeev, “Alexey Nikolaevich Karapetyants (on the occasion of his 50th birthday)”, Vladikavkaz. Mat. Zh., 23:4 (2021), 131–132
Contact us: