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The initial value problem for the Navier-Stokes equations with data in L\(^p\). (English) Zbl 0254.35097

MSC:
35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
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[1] Calderon, A. P., & A. Zygmund, On the existence of certain singular integrals. Acta Math. 88, 85-139 (1952). · Zbl 0047.10201 · doi:10.1007/BF02392130
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[3] Ladyzhenskaya, O. A., The Mathematical Theory of Viscous Incompressible Flow. New York: Gordon and Breach 1969. · Zbl 0184.52603
[4] Leray, J., Sur le mouvement d’un liquide visqueux emplissant l’espace. Acta Math. 63, 193-248 (1934). · JFM 60.0726.05 · doi:10.1007/BF02547354
[5] Lewis, J. E., Mixed estimates for singular integrals, Proceedings of Symposia in Pure Mathematics. A.M.S., Vol. X. · Zbl 0177.38604
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[8] Prodi, G., Un teorema di unicitá per le equazioni di Navier-Stokes. Annali di Mat. 48, 173-182 (1959). · Zbl 0148.08202 · doi:10.1007/BF02410664
[9] Riviere, N. M., Singular integrals and multiplier operators, Arkiv för Math. (to appear). · Zbl 0244.42024
[10] Serrin, J., The Initial Value Problem for the Navier-Stokes Equations. Nonlinear Problems, edited by R. E. Langer, University of Wisconsin press, 1963, 69-83. · Zbl 0115.08502
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