StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions

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.: �tude de diverses �quations int�grales non lin�aires et de quelques probl�mes 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, Universit�t Bonn, Preprint series no. 635 (1984)

Weissler, F.: The Navier-Stokes initial value problem inL p . Arch. Rational Mech. Anal.74, 219?230 (1980)