In this paper we derive some geometric formulas for the quotient of the zeta functional determinants for certain elliptic boundary value problems on Riemannian 3 and 4-manifolds with smooth boundary. 1997 Academic Press ## 1. Introduction Let (M, g) denote a smooth compact Riemannian manifold wit
Zeta function derived from the boundary element method
โ Scribed by Takahisa Harayama; Akira Shudo
- Book ID
- 103783891
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 409 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we show W 2, 2 -compactness of isospectral set within a subclass of conformal metrics, and discuss extremal properties of the zeta functional determinants, for certain elliptic boundary value problems on 4-manifolds with smooth boundary. To do so we establish some sharp Sobolev trace i
In this boundary-element method based on ยฎnite elements only the boundary is discretized with surface ยฎnite elements yielding a reduction of the spatial dimension by one. No fundamental solution is necessary and thus no singular integrals must be evaluated and general anisotropic material can be ana