2019
Том 71
№ 9

All Issues

Borodin M. A.

Articles: 4
Article (Russian)

Existence of a Global Classical Solution of One Problem Arising in Combustion Theory

Borodin M. A.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2001. - 53, № 10. - pp. 1309-1319

We consider a multidimensional free-boundary problem for a parabolic equation that arises in combustion theory. We prove the existence of a global classical solution. The idea of the method is as follows: first, we perform the differential–difference approximation of the problem and establish its solvability; then we prove uniform estimates and perform a limit transition.

Article (Russian)

Two-phase contact Stefan problem

Borodin M. A.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1995. - 47, № 2. - pp. 158–167

The existence of the classical solution of the many-dimensional two-phase Stefan problem is proved for any finite time interval in the case of contact of an unknown (free) boundary with the known one.

Article (Ukrainian)

Existence of classical solutions of the multidimensional Stefan problem on a finite interval

Borodin M. A.

Full text (.pdf)

Ukr. Mat. Zh. - 1992. - 44, № 12. - pp. 1652–1657

Brief Communications (Russian)

The Riemann-Hilbert boundary-value problem for holomorphic functions of several complex variables

Borodin M. A.

Full text (.pdf)

Ukr. Mat. Zh. - 1969. - 21, № 2. - pp. 238–246