ROTHE'S METHOD FOR NONLINEAR PARABOLIC VARIATIONAL INEQUALITIES IN NONCYLINDRICAL DOMAINS

被引：0
|
作者：
Kulieva, Gulchehra [1 ]
Kuliev, Komil [2 ]
机构：
[1] Tashkent Univ Informat Technol, Samarkand Branch, Sh Mirzo 47, Samarkand 140100, Uzbekistan
[2] Samarkand State Univ, Samarkand 140104, Uzbekistan
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2020年 / 12卷 / 03期
关键词：
Parabolic variational inequalities; parabolic PDE; numerical method; time-discretization; Rothe's method;
D O I：
10.7153/dea-2020-12-15
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a nonlinear parabolic variational inequality in noncylindrical domain is considered. Using extended Rothe's method recently achieved in [11] an approximate solution is constructed. Existence and uniqueness results are proved. Also, we present some further results and comments related to the main result.
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页码：227 / 242
页数：16
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