Preprint
On Oseen Resolvent Estimates: A Negative Result
Zusammenfassung
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.
the one which is valid for the Stokes resolvent, even if the resolvent parameter has positive real part.
Zitieren
@article{urn:nbn:de:hebis:34-2009081329432,
author={Deuring, Paul and Varnhorn, Werner},
title={On Oseen Resolvent Estimates: A Negative Result},
year={2009}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2009$n2009 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2009081329432 3000 Deuring, Paul 3010 Varnhorn, Werner 4000 On Oseen Resolvent Estimates: A Negative Result / Deuring, Paul 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2009081329432=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel ;; 09, 03 7136 ##0##urn:nbn:de:hebis:34-2009081329432
2009-08-13T12:09:15Z 2009-08-13T12:09:15Z 2009 urn:nbn:de:hebis:34-2009081329432 http://hdl.handle.net/123456789/2009081329432 eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Oseen equations resolvent estimate 510 On Oseen Resolvent Estimates: A Negative Result Preprint 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. open access Deuring, Paul Varnhorn, Werner Mathematische Schriften Kassel ;; 09, 03 35Q30 65N30 76D05 Mathematische Schriften Kassel 09, 03
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