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L q-solution of the Robin Problem for the Oseen System

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Abstract

We define Oseen single layer and double layer potentials and study their properties. Using the integral equation method we prove the existence and uniqueness of an L q-solution of the Robin problem for the Oseen system.

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Authors and Affiliations

  1. Mathematical Institute of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    Dagmar Medková

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  1. Dagmar Medková
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Correspondence to Dagmar Medková.

Additional information

The research of D. M. was supported by RVO: 67985840.

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Medková, D. L q-solution of the Robin Problem for the Oseen System. Acta Appl Math 142, 61–79 (2016). https://doi.org/10.1007/s10440-015-0014-5

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  • DOI: https://doi.org/10.1007/s10440-015-0014-5

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