Speciality:
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.
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.
