A New Regularization Method for a Class of Ill-Posed Cauchy Problems

In this paper, the Cauchy problem for the elliptic equation is investigated. We use a quasireversibility method to solve it and present convergence estimates under different assumptions for the exact solution. Some numerical tests illustrate that the proposed method is feasible and effective.   2000...

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Bibliographic Details
Published inSarajevo journal of mathematics Vol. 6; no. 2; pp. 189 - 201
Main Authors Tuan, Nguyen Huy, Trong, Dang Duc, Quan, Pham Hoang
Format Journal Article
LanguageEnglish
Published 11.06.2024
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Summary:In this paper, the Cauchy problem for the elliptic equation is investigated. We use a quasireversibility method to solve it and present convergence estimates under different assumptions for the exact solution. Some numerical tests illustrate that the proposed method is feasible and effective.   2000 Mathematics Subject Classification. 35K05, 35K99, 47J06, 47H10
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.06.2.04