We study the complexity of second-order indefinite elliptic problems -div(aβu) + bu = f (with homogeneous Dirichlet boundary conditions) over a d-dimensional domain , the error being measured in the H 1 ( )-norm. The problem elements f belong to the unit ball of W r, p ( ), where p β [2, β] and r >
β¦ LIBER β¦
The Complexity of Definite Elliptic Problems with Noisy Data
β Scribed by Arthur G. Werschulz
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 393 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0885-064X
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We consider a one-dimensional coupled problem for elliptic second-order ODEs with natural transmission conditions. In one subinterval, the coe$cient '0 of the second derivative tends to zero. Then the equation becomes there hyperbolic and the natural transmission conditions are not ful"lled anymore.