Well-posedness of difference scheme for elliptic-parabolic equations in Holder spaces without a weight

被引：0
作者：
Ashyralyev, Allaberen [1 ,2 ]
Gercek, Okan [3 ]
Zusi, Emel [4 ]
机构：
[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey
[2] ITTU, Edirne, Turkey
[3] Fatih Univ, Elementary Math Educ, TR-34500 Istanbul, Turkey
[4] Univ Shkodra, Dept Math, Shkoder, Albania
来源：
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014) | 2014年 / 1611卷
关键词：
Difference scheme; Elliptic-parabolic equation; Coercivity inequalities; Well-posedness; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1063/1.4893809
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we are interested in studying a second order of accuracy difference scheme for the approximate solution of the elliptic-parabolic equation with the nonlocal boundary condition. Theorem on well-posedness of this problem in Holder spaces without a weight is given. In an application, coercivity estimates in Holder norms for approximate solution of a nonlocal boundary value problem for elliptic-parabolic differential equation are obtained.
引用
收藏
页码：84 / 88
页数：5
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