01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
22.03.1951
E-mail:
UDC:
517, 517.9, 517.946
Subject:
Nonlinear parabolic problems.
Main publications:
A. G. Khachatryan, Overdefinite parabolic marginal problems, Zap. Nauch. Sem. Leningrad. otdel. Math. Inst. (LOMI), v. 69, 1977, p. 240–272.
A. G. Khachatryan, Stability study of stationary and periodic solutions of the nonlinear parabolic systems, Zap. Nauch. Sem. Leningrad. otdel. Math. Inst. (LOMI), v. 84, 1979, p. 286–304.
V. A. Solonnikov, A. G. Khachatryan, Estimates for solutions in weighted Holder norms, Proceedings of the Steklov Institute Mathematics, 1981, Issue 2, p. 153–161.
V. A. Solonnikov, A. G. Khachatryan, To the question of solubility initial-boundary problems for quasilinear parabolic systems, Zap. Nauch. Sem. Leningrad. otdel. Math. Inst. (LOMI), v. 89, 1981, p. 225–235.
A. G. Khachatryan, Existence theorems for the equations of motions of a compressible viscous fluid, Zap. Nauch. Sem. Leningrad. otdel. Math. Inst. (LOMI), v. 102, 1989, p. 215–240.
A. G. Khachatryan, On a class of solubility overdefinite parabolic initial-boundary value problems, Izv. NAN Armenii, Mathematica, v. 36, 2001, N 3, p. 83–89.
A. G. Khachatryan, “Local existence theorem for the equations of motion of viscous liquid in Hölder weight spaces”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 3, 56–62
2001
2.
A. G. Khachatryan, “Trapping, compression, and acceleration of an electron beam by the laser wake wave”, Pis'ma v Zh. Èksper. Teoret. Fiz., 74:7 (2001), 407–411; JETP Letters, 74:7 (2001), 371–374
V. A. Solonnikov, A. G. Khachatryan, “On the solvability of initial-boundary value problems for quasilinear parabolic systems”, Zap. Nauchn. Sem. LOMI, 110 (1981), 225–234; J. Soviet Math., 25:1 (1984), 967–973
1980
4.
V. A. Solonnikov, A. G. Khachatryan, “Estimates for solutions of parabolic initial-boundary value problems in weighted Hölder norms”, Trudy Mat. Inst. Steklov., 147 (1980), 147–155; Proc. Steklov Inst. Math., 147 (1981), 153–162
A. G. Khachatryan, “Investigation of stability of stationary and periodic solutions of non-linear parabolic system”, Zap. Nauchn. Sem. LOMI, 84 (1979), 286–304; J. Soviet Math., 21:3 (1983), 451–464
1977
6.
A. G. Khachatryan, “Overdetermined parabolic boundary-value problems”, Zap. Nauchn. Sem. LOMI, 69 (1977), 240–272; J. Soviet Math., 10:1 (1978), 171–193