The quasi-reversibility regularization method for a Cauchy problem for the Laplace equation |
( Volume 7 Issue 11,November 2020 ) OPEN ACCESS |
Author(s): |
Juanjuan Pu, Xiangtuan Xiong |
Keywords: |
Ill-posed problem; the Cauchy problem for the Laplace equation; Quasi-reversibility regularization; Error estimate. |
Abstract: |
In this paper, the Cauchy problem for the homogeneous and nonhomogeneous Laplace equation in a strip domain is discussed. Where the Cauchy data atis given, and the solution is found in the interval (0,1). The corresponding error estimation is obtained by a new quasi-reversibility regularization method with a appropriate regularization parameter selection. |
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