THE NONLOCAL STEFAN PROBLEM FOR QUASILINEAR PARABOLIC EQUATION

被引：0

作者：

Takhirov, J. O. ^{[1
]}

Turaev, R. N. ^{[2
]}

机构：

[1] Nizami Tashkent State Pedag Univ, Dept Math Anal, 103 Yusuf Khos Khojib St, Tashkent 700100, Uzbekistan

[2] Acad Sci Uzbek, Inst Math & Informat Technol, Lab Differential Equat, Tashkent 100125, Uzbekistan

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2012年 / 03期

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;

D O I：

10.14498/vsgtu1010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页码：8 / 16

页数：9

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