On the Injectivity and Linearization of the Coefficient-to-Solution Mapping for Elliptic Boundary Value Problems
β Scribed by K. Ito; K. Kunisch
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 838 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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.
In this paper, we extend the method of auxiliary mapping (MAM), introduced by BabuΓ ska and Oh, to three dimensions so that the extended MAM (3-D MAM) can e ectively handle three-dimensional elliptic problems containing the singularities caused by the non-smooth domains. There are three type of sing