A quasi-reversibility regularization method for a Cauchy problem of the modified Helmholtz-type equation

Abstract The Cauchy problem of the modified Helmholtz-type equation is severely ill-posed, i.e., the solution does not depend continuously on the given Cauchy data. Thus the regularization methods are required to recover the numerical stability. In this paper, we propose a quasi-reversibility regula...

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Bibliographic Details
Main Authors: Hong Yang, Yanqi Yang
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1142-z