01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
1.02.1951
E-mail:
,
Keywords:
ellipticity; the formula for an index; homogenization and G-convergence.
Subject:
The neterian criteria and index of the formula for boundary value problems for general elliptic (on Petrovski, Duglis–Nirenberg) systems on a plane are obtained. The boundary value problems both in smooth and in piecewise smooth areas are considered, besides the coefficients in boundary conditions can have ruptures as saltuses. A series of papers (together with Zhikov V. V.) is devoted to an average and G-convergence of non-divergence elliptic operators.
Biography
Graduated from Faculty of Mathematics of Dagestan State University in 1973. Ph.D. thesis was defended in 1983 in Moscow State University. D.Sci. thesis was defended in 2002. A list of my works contains more than 90 titles. Member of the Moscow Mathematical Society.
Main publications:
Sipazhudinov M. M. O zadache Pimana–Gilbepta dlya ellipticheskikh sistem pepvogo popyadka v mnogosvyaznoi oblasti // Matem. sbornik, 1993, t. 184, # 11, c. 39–62.
Sipazhudinov M. M. Novye zadachi dlya obschikh ellipticheskikh sistem na ploskosti // Dokl. RAN, 1995, t. 343, # 1, c. 19–21.
Sipazhudinov M. M. Kpaevye zadachi dlya obschikh ellipticheskikh sistem na ploskosti // Izv. RAN. Sep. mat., 1997, t. 61, # 5, c. 137–176.
Sipazhudinov M. M., Magomedov A. G., Magomedova V. G. Kpaevye zadachi dlya obschikh ellipticheskikh sistem na ploskosti. II // Izv. RAN. Sep. mat., 2000, t. 64, # 3, c. 169–224.
M. M. Sirazhudinov, L. M. Dzhabrailova, “Operator estimates for the averaging of the Riemann-Hilbert problem for the Beltrami equation with a locally periodic coefficient”, Daghestan Electronic Mathematical Reports, 2021, no. 16, 51–61
2020
2.
M. M. Sirazhudinov, “On continuous periodic solutions of the Beltrami equation in a half-plane”, Daghestan Electronic Mathematical Reports, 2020, no. 14, 30–37
3.
M. M. Sirazhudinov, “Homogenization Estimates of Nondivergence Elliptic Operators of Second Order”, Mat. Zametki, 108:2 (2020), 260–284; Math. Notes, 108:2 (2020), 250–271
2018
4.
M. M. Sirazhudinov, S. P. Dzhamaludinova, “About the G-compactness of certain classes of second-order elliptic operators”, Daghestan Electronic Mathematical Reports, 2018, no. 10, 1–12
2017
5.
M. M. Sirazhudinov, “Operator estimation of homogenizstion for generalized Beltrami equations”, Daghestan Electronic Mathematical Reports, 2017, no. 7, 40–46
M. M. Sirazhudinov, “An asymptotic method for homogenization for generalized Beltrami operators”, Mat. Sb., 208:4 (2017), 87–110; Sb. Math., 208:4 (2017), 546–567
M. M. Sirazhudinov, S. P. Dzhamaludinova, “$G$-convergence and homogenization of one class of second order elliptic equations with complex coefficients”, Daghestan Electronic Mathematical Reports, 2014, no. 2, 87–100
8.
M. M. Sirazhudinov, S. E. Pastukhova, S. P. Dgamaludinova, “Asymptotic expansions for the system of Beltrami equations”, Daghestan Electronic Mathematical Reports, 2014, no. 1, 79–83
2008
9.
M. M. Sirazhudinov, “$G$-convergence and homogenization of generalized Beltrami operators”, Mat. Sb., 199:5 (2008), 127–158; Sb. Math., 199:5 (2008), 755–786
M. M. Sirazhudinov, R. M. Sirazhudinov, “$G$-Convergence of Systems of Generalized Beltrami Equations”, Trudy Mat. Inst. Steklova, 261 (2008), 268–275; Proc. Steklov Inst. Math., 261 (2008), 262–269
M. M. Sirazhudinov, A. G. Magomedov, V. G. Magomedova, “Boundary-value problems for general elliptic systems in the plane. II”, Izv. RAN. Ser. Mat., 64:3 (2000), 169–224; Izv. Math., 64:3 (2000), 601–651
M. M. Sirazhudinov, “Boundary-value problems for general elliptic systems in the plane”, Izv. RAN. Ser. Mat., 61:5 (1997), 137–176; Izv. Math., 61:5 (1997), 1031–1068
M. M. Sirazhudinov, “New problems for general elliptic systems in the plane”, Dokl. Akad. Nauk, 343:1 (1995), 19–21
1993
14.
M. M. Sirazhudinov, “On the Riemann–Hilbert problem for first order elliptic systems in multiply connected domains”, Mat. Sb., 184:11 (1993), 39–62; Russian Acad. Sci. Sb. Math., 80:2 (1995), 287–307
M. M. Sirazhudinov, “$G$-compactness of a class of first-order elliptic systems”, Differ. Uravn., 26:2 (1990), 298–305; Differ. Equ., 26:2 (1990), 229–235
M. M. Sirazhudinov, “On the Riemann–Hilbert boundary value problem ($L_2$-theory)”, Differ. Uravn., 25:8 (1989), 1400–1406; Differ. Equ., 25:8 (1989), 999–1003
V. V. Zhikov, M. M. Sirazhudinov, “On $G$-compactness of a class of nondivergence elliptic operators of second order”, Izv. Akad. Nauk SSSR Ser. Mat., 45:4 (1981), 718–733; Math. USSR-Izv., 19:1 (1982), 27–40
V. V. Zhikov, M. M. Sirazhudinov, “The averaging of nondivergence second order elliptic and parabolic operators and the stabilization of solutions of the Cauchy problem”, Mat. Sb. (N.S.), 116(158):2(10) (1981), 166–186; Math. USSR-Sb., 44:2 (1983), 149–166
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