References
Giga, Y.: Regularity criteria for weak solutions of the Navier-Stokes system. Proc. AMS Summer Inst. 1983, to appear
Kato, T., Fujita, H.: On the non-stationary Navier-Stokes system. Rend. Sem. Mat. Univ. Padova32, 243–260 (1962)
Leray, J.: Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'Hydrodynamique. J. Math. Pures Appl.12, 1–82 (1933)
Leray, J.: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math.63, 193–248 (1934)
Serrin, J.: The initial value problem for the Navier-Stokes equation. Nonlinear Problems, Proc. Symp. MRC, Univ. Wisconsin, Madison, 1963, pp. 69–98
Sohr, H., von Wahl, W.: On the singular set and the uniqueness of weak solutions of the Navier-Stokes equations. Sonderforschungsbereich 72 Approximation und Optimierung, Universität Bonn, Preprint series no. 635 (1984)
Weissler, F.: The Navier-Stokes initial value problem inL p. Arch. Rational Mech. Anal.74, 219–230 (1980)
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Dedicated to Ralph S. Phillips
Partially supported by NSF Grant MCS-82-00171
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Kato, T. StrongL p-solutions of the Navier-Stokes equation inR m, with applications to weak solutions. Math Z 187, 471–480 (1984). https://doi.org/10.1007/BF01174182
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DOI: https://doi.org/10.1007/BF01174182