CONDITIONAL STABILITY OF A SOLUTION OF A DIFFERENCE SCHEME FOR AN ILL-POSED CAUCHY PROBLEM

被引：0

作者：

Sultanov, Murat A. ^{[1
]}

Akylbaev, Musabek I. ^{[2
]}

Ibragimov, Raskul ^{[3
]}

机构：

[1] Akhmet Yasawi Int Kazakh Turkish Univ, Dept Math, Str Sattarkhanov 29, Turkistan 161200, Kazakhstan

[2] Univ Friendship Peoples, Kazakhstan Engn & Pedag, Dept Comp Sci & Math, Str Tole Bi 32, Shymkent 160000, Kazakhstan

[3] South Kazakhstan State Pedag Inst, Dept Phys & Math, Str Baitursynov 13, Shymkent 160000, Kazakhstan

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Carleman estimates; Ill-posed Cauchy problems; finite stability; Difference operator; numerical solution; QUASI-REVERSIBILITY METHOD;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we obtain criteria for stability of two-layer difference schemes for an abstract ill-posed Cauchy problem. Method of proof is based on obtaining a priori difference weighted Carleman type estimates. Stability conditions for solutions of two-layer difference schemes are used to prove the theorem of conditional stability of a solution of three-layer scheme that approximates an ill-posed Cauchy problem for an integral-differential equation associated with a coefficient inverse problem.

引用

页数：17

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