Speciality:
05.13.18; 05.13.17 (Mathematical modeling, numerical methods, and the program systems; Theoretical foundation for informatics)
Birth date:
7.10.1950
E-mail: Keywords: Sobolev-type equations, solution blow-up, existence of a global solution
Subject:
Linear and nonlinear equations of Sobolev type, Cauchy problem, Goursat problem, Riemann method
Main publications:
1. Kh. G. Umarov, “The Riemann method for some hyperbolic equations with constant operator coefficients”, Dokl. AN SSSR, 259:3 (1981), 549 – 553.
2. Kh. G. Umarov, “The Cauchy problem in a Banach space for an analogue of the diffusion equation that is not solved with respect to the time derivative”, Dokl. AN SSSR, 314:6 (1990) 1352–1356.
3. Kh. G. Umarov, Operator semigroups and exact solutions of anisotropic filtering problems, Fizmatlit, Moscow, 2009, 216 pp.
4. Umarov Kh. G., “The Cauchy problem for the equation of torsional vibrations of a nonlinearly elastic rod of infinite length”, Prikl. math. i Mech., 83:2 (2019), 249–264