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.
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页数：17
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