Domains of uncertainty for perturbed operator equations
โ Scribed by A. Sluis
- Publisher
- Springer Vienna
- Year
- 1970
- Tongue
- English
- Weight
- 607 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0010-485X
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๐ SIMILAR VOLUMES
We prove domain perturbation theorems for linear and nonlinear elliptic equations under Robin boundary conditions. The theory allows very singular perturbation of domains. In particular, it includes cutting holes, parts degenerating to a set of measure zero such as the dumbbell problem, or wildly os
Let X and Y be Banach spaces, and let T : X -Y be a bounded linear operator with closed range. In this paper, we give optimal lower and upper bounds for the perturbation of consistent operator equations Tz = 1/, and more general least-squares problems in Hilbert spaces.