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Regularization strategy for the Cauchy problem of Laplace’s equation from the viewpoint of regularization theory

✍ Scribed by Ailin Qian, Jianfeng Mao


Book ID
118819246
Publisher
Wuhan University
Year
2012
Tongue
English
Weight
409 KB
Volume
17
Category
Article
ISSN
1007-1202

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📜 SIMILAR VOLUMES


Regularized solution of the Cauchy probl
✍ C. Vani; A. Avudainayagam 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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

Regularization of a non-characteristic C
✍ Dinh Nho Hào 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 321 KB

## Abstract The non‐characteristic Cauchy problem for the heat equation __u__~__xx__~(__x__,__t__) = __u__~1~(__x__,__t__), 0 ⩽ __x__ ⩽ 1, − ∞ < __t__ < ∞, __u__(0,__t__) = φ(__t__), __u__~__x__~(0, __t__) = ψ(__t__), − ∞ < __t__ < ∞ is regularizèd when approximate expressions for φ and ψ are given