Boundedness of imaginary powers of the stokes operator in an infinite layer |
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Authors: | Helmut Abels |
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Institution: | 1.Fachbereich Mathematik, Technische Universit?t Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany, e-mail: abels@mathematik.tu-darmstadt.de ,DE |
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Abstract: | In this article we prove the existence of bounded purely imaginary powers of the Stokes operator , which is defined on the space of solenoidal vector fields < q < , where is an infinite layer. It is a consequence of a special representation of the resolvent of the Stokes operator in terms of
the Stokes operator on , a composition of a trace and a Poisson operator – a singular Green operator – and a negligible part. |
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Keywords: | : Stokes equations Stokes operator bounded imaginary powers |
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