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On Oseen Resolvent Estimates: A Negative Result

Deuring, Paul
Varnhorn, Werner

We consider the resolvent problem for the scalar Oseen equation in the whole space R^3. We show that for small values of the resolvent parameter it is impossible to obtain an L^2-estimate analogous to the one which is valid for the Stokes resolvent, even if the resolvent parameter has positive real part.

Citation
In: Mathematische Schriften Kassel 09, 03 / (2009) , S. ; 
@article{urn:nbn:de:hebis:34-2009081329432,
  author    ={Deuring, Paul and Varnhorn, Werner},
  title    ={On Oseen Resolvent Estimates: A Negative Result},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2009}
}