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.
Citation
Paul Deuring. Werner Varnhorn. "On Oseen resolvent estimates." Differential Integral Equations 23 (11/12) 1139 - 1149, November/December 2010. https://doi.org/10.57262/die/1356019077
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