A Modified Method for a Cauchy Problem of the Helmholtz Equation

In this paper, a Cauchy problem for the Helmholtz equation is investigated. It is well known that this problem is severely ill-posed in the sense that the solution (if it exists) does not depend continuously on the given Cauchy data. To overcome such difficulties, we propose a modified regularizatio...

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Veröffentlicht in:	Bulletin of the Malaysian Mathematical Sciences Society 2017-10, Vol.40 (4), p.1493-1522
Hauptverfasser:	Qin, Haihua, Lu, Jingmei
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Cauchy problems Helmholtz equations Ill posed problems Mathematics Mathematics and Statistics Regularization Regularization methods Stability analysis
Online-Zugang:	Volltext
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