Weak solutions of the Navier-Stokes equations with test functions in the weak-$L^n$ space
Kozono, Hideo
Tohoku Math. J. (2), Tome 53 (2001) no. 4, p. 55-79 / Harvested from Project Euclid
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We show the existence of weak solutions of the Navier-Stokes equations with test functions in the weak-$L^n$ space. As an application, we give a new criterion on uniqueness and regularity of weak solutions which covers the previous results.
Publié le : 2001-05-14
Classification:  76D05,  35D05,  35Q30 
@article{1178207531,
     author = {Kozono, Hideo},
     title = {Weak solutions of the Navier-Stokes equations with test functions in the weak-$L^n$ space},
     journal = {Tohoku Math. J. (2)},
     volume = {53},
     number = {4},
     year = {2001},
     pages = { 55-79},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207531}
}

Kozono, Hideo. Weak solutions of the Navier-Stokes equations with test functions in the weak-$L^n$ space. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp.  55-79. http://gdmltest.u-ga.fr/item/1178207531/