The nonlocal stefan problem for quasilinear parabolic equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki

Rasul N Turaev¹  Jozil O Takhirov² 

[1] Institute of Mathematics and Information Technologies of the Academy of Sciences of Uzbekistan;Nizami Tashkent State Pedagogical University;

关键词: nonlocal problem;    stefan problem;    quasilinear parabolic equation;    free boundary;    priori estimates;    existence and uniqueness theorem;    fixed boundary;    method of potentials;    maximum principle;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown