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Uniform meyer solution to the three dimensional cauchy problem for laplace equation

✍ Scribed by Jinru Wang; Weifang Wang


Publisher
Springer
Year
2011
Tongue
English
Weight
119 KB
Volume
27
Category
Article
ISSN
1573-8175

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Regularized solution of the Cauchy probl
✍ C. Vani; A. Avudainayagam πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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