2019
Том 71
№ 6

All Issues

Takhirov Zh. O.

Articles: 2
Article (Russian)

Problem with free boundary for the systems of equations of reaction-diffusion type

Rasulov M. S., Takhirov Zh. O.

↓ Abstract

Ukr. Mat. Zh. - 2017. - 69, № 12. - pp. 1690-1700

We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditions are given in the nonlocal form. The a priori estimates of the H¨older norms are established. These estimates are used to prove the existence and uniqueness of the solution.

Article (Russian)

Problem with nonlocal condition on the free boundary

Takhirov Zh. O., Turaev R. N.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2012. - 64, № 1. - pp. 71-80

We investigate the one-phase Florin problem for a parabolic equation with nonlocal condition. Theorems one the existence and uniqueness of a solution are proved, and a priori estimates for the solution are obtained.