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

页码：84 / 88

页数：5

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