Regularization of the continuation problem for elliptic equations - Concepedia

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Regularization of the continuation problem for elliptic equations

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References

2013

Year

Sergey Kabanikhin, Yusif S. Gasimov, Daniyar Nurseitov, Maxim Shishlenin, Syrym Kasenov

Journal of Inverse and Ill-Posed Problems

Monge-ampere EquationMethod Of Fundamental SolutionElliptic EquationContinuation ProblemSingular ValuesElliptic FunctionNonlinear Functional Analysis

Abstract

Abstract. We investigate the continuation problem for the elliptic equation. The continuation problem is formulated in operator form . The singular values of the operator A are presented and analyzed for the continuation problem for the Helmholtz equation. Results of numerical experiments are presented.