## Tohoku Mathematical Journal

### Weak solutions of the Navier-Stokes equations with test functions in the weak-$L^n$ space

Hideo Kozono

#### Abstract

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.

#### Article information

Source
Tohoku Math. J. (2), Volume 53, Number 1 (2001), 55-79.

Dates
First available in Project Euclid: 3 May 2007

https://projecteuclid.org/euclid.tmj/1178207531

Digital Object Identifier
doi:10.2748/tmj/1178207531

Mathematical Reviews number (MathSciNet)
MR1808641

Zentralblatt MATH identifier
0997.35047

#### Citation

Kozono, Hideo. Weak solutions of the Navier-Stokes equations with test functions in the weak-$L^n$ space. Tohoku Math. J. (2) 53 (2001), no. 1, 55--79. doi:10.2748/tmj/1178207531. https://projecteuclid.org/euclid.tmj/1178207531

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