The nonlocal Stefan problem for quasilinear parabolic equation

In this paper, we deal with free boundary problem with nonlocal boundary condition for quasilinear parabolic equation. For the solutions of the problem apriory estimates of Shauder's type are established. On the base of apriory estimations the existence and uniqueness theorems are proved

Bibliographic Details
Main Authors: J. O. Takhirov, R. N. Turaev
Format: Article
Language:English
Published: Samara State Technical University 2012-09-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1010