## Abstract Consider a bounded domain Ξ© in β^3^ with __C__^2^βboundary βΞ©. In [1] the Stokes problem in the exterior domain β^3^/Ξ©, with resolvent parameter [λϡβ\] β [β,0], is solved by using the method of integral equations. However, for estimating the corresponding solutions in __L__^__p__^ norms
An integral operator related to the stokes system in exterior domains
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 32 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The article treats the question of how to numerically solve the Dirichlet problem for the Stokes system in the exterior of a three-dimensional bounded Lipschitz domain. In a first step, the solution of this problem is approximated by functions solving the Stokes system in a truncated domain and sati
The paper deals with the Dirichlet problem for the Stokes linear equation in a domain exterior to an open surface. With the help of the theory of boundary integral (pseudo-differential) equations uniqueness and existence theorems are proved in the Bessel-potential and Besov spaces and C?-smoothness
## Communicated by W. SprΓΆΓig We study point spectra of the two integral operators that are generated by the boundary values of the simple-layer potential and of the integral tightly related to the double-layer potential; the operators act on the HΓΆlder space H l (C), l β (0, 1), and on the Lebesg