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On the three dimensional Riesz and Oseen potentials

Abstract : We prove continuity properties for Riesz and Oseen potentials. As a consequence, we show some new properties on solutions of Poisson's and Oseen equations. The study relies on weighted Sobolev spaces in order to control the behavior of functions at infinity.
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https://hal.archives-ouvertes.fr/hal-00337405
Contributor : Ulrich Razafison <>
Submitted on : Thursday, November 6, 2008 - 8:31:45 PM
Last modification on : Thursday, March 5, 2020 - 7:24:02 PM
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  • HAL Id : hal-00337405, version 1

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Chérif Amrouche, Hamid Bouzit, Ulrich Razafison. On the three dimensional Riesz and Oseen potentials. Potential Analysis, Springer Verlag, 2011, 34 (2), pp.163--179. ⟨hal-00337405⟩

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