A new method, based on the Kelvin transformation and the Fokas integral method, is employed for solving analytically a potential problem in a non-convex unbounded domain of R 2 , assuming the Neumann boundary condition. Taking advantage of the property of the Kelvin transformation to preserve harmon
Compactness of the ∂-Neumann Problem on Convex Domains
✍ Scribed by Siqi Fu; Emil J Straube
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 259 KB
- Volume
- 159
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
The -Neumann operator on (0, q)-forms (1 q n) on a bounded convex domain 0 in C n is compact if and only if the boundary of 0 contains no complex analytic (equivalently: affine) variety of dimension greater than or equal to q.
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