The Robin problem for the scalar Oseen equation |
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| Authors: | Dagmar Medková Emma Skopin Werner Varnhorn |
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| Institution: | 1. Mathematical Institute, Academy of Sciences of the Czech Republic, , v Zitná 25, 115 67 Praha 1 Czech Republic;2. Institute of Mathematics, University of Kassel, , 34109 Kassel, Germany |
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| Abstract: | We study the Robin problem for the scalar Oseen equation in an open n‐dimensional set with compact Ljapunov boundary. We prescribe two types of Robin boundary conditions, and prove the unique solvability of these problems as well as a representation formula for the solution in form of a scalar Oseen single layer potential. Moreover, we prove the maximum principle for the solution to the Robin problem of the scalar Oseen equation. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | scalar Oseen equation Oseen potentials Robin problem |
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