Based on the two-dimensional stationary Oseen equation we consider the problem to determine the shape of a cylindrical obstacle immersed in a #uid #ow from a knowledge of the #uid velocity on some arc outside the obstacle. First, we obtain a uniqueness result for this ill-posed and non-linear invers
Boundary regularity for the Ricci equation, geometric convergence, and Gel’fand’s inverse boundary problem
✍ Scribed by Michael Anderson; Atsushi Katsuda; Yaroslav Kurylev; Matti Lassas; Michael Taylor
- Publisher
- Springer-Verlag
- Year
- 2004
- Tongue
- English
- Weight
- 560 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0020-9910
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📜 SIMILAR VOLUMES
Al~straet. A new class of reflection finite-gap potentials for the one-dimensional Schr0dinger equation is investigated. The inverse problem for this class is reduced to the 2 x 2-matrix Riemann boundary problem on a hyperelliptic Riemann surface.
## Abstract We introduce a notion of __q__ ‐pseudoconvex domain of new type for a bounded domain of ℂ^__n__^ and prove that for given a $ \bar \partial $‐closed (__p, r__)‐form, __r__ ≥ __q__, that is smooth up to the boundary, there exists a (__p__, __r__ – 1)‐form smooth up to the boundary which