β Scribed by Paul Deuring
No coin nor oath required. For personal study only.
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, it turns out that a certain operator defined on the spaces L^r^(βΞ©)^3^, for r Ο΅]1, β[, has to be evaluated in the norm of L^r^(βΞ©)^3^. This estimate is proved in the present paper.
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
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## 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