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A Remark on the Stokes Problem with Initial Data in L 1

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Abstract

In this note we study the initial boundary value problem of the Stokes system. We assume the initial data belonging to the Lebesgue space L 1. We develop a suitable approach to discuss the existence, uniqueness and continuous dependence on the data. As matter of course, we also consider the case of the Lebesgue space L p, \({p\in(1,\infty)}\).

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Authors and Affiliations

  1. Dipartimento di Matematica, Seconda Università degli Studi di Napoli, via Vivaldi 43, 81100, Caserta, Italy

    P. Maremonti

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  1. P. Maremonti
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Correspondence to P. Maremonti.

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Communicated by V.A. Solonnikov

To Mariolina Padula on her 60th birthday

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Maremonti, P. A Remark on the Stokes Problem with Initial Data in L 1 . J. Math. Fluid Mech. 13, 469–480 (2011). https://doi.org/10.1007/s00021-010-0036-8

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  • DOI: https://doi.org/10.1007/s00021-010-0036-8

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