Regularized solution of the Cauchy probl
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C. Vani; A. Avudainayagam
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Article
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2002
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Elsevier Science
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English
β 507 KB
We consider the Cauchy problem for the Laplace equation in the half plane x > 0 where the Cauchy data is given at x = 0 and the solution is sought in the interval 0 < x < 1. This is a model ill-posed problem since a small perturbation in the initial data leads to large errors in the solution. We use