## Differential and Integral Equations

### On Oseen resolvent estimates

#### Abstract

We consider the resolvent problem for the Oseen system and for the scalar Oseen equation in the whole space $\mathbb{R}^{3}$. It is shown that, for small values of the resolvent parameter, it is impossible to obtain an L$^{2}$-estimate analogous to the one that is valid for the Stokes resolvent, even if the resolvent parameter has positive real part.

#### Article information

Source
Differential Integral Equations, Volume 23, Number 11/12 (2010), 1139-1149.

Dates
First available in Project Euclid: 20 December 2012