A New Regularization Method for a Class of Ill-Posed Cauchy Problems
DOI:
https://doi.org/10.5644/SJM.06.2.04Keywords:
Elliptic equation, Ill-posed problem, Cauchy problem, contraction principleAbstract
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
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References
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