On the sharpness of Green's function estimates for a convection-diffusion problem

Publikation: Vorabdruck/Dokumentation/BerichtVorabdruck (Preprint)

Beitragende

Abstract

Linear singularly perturbed convection-diffusion problems with characteristic layers are considered in three dimensions. We demonstrate the sharpness of our recently obtained upper bounds for the associated Green's function and its derivatives in the $L_1$ norm. For this, in this paper we establish the corresponding lower bounds. Both upper and lower bounds explicitly show any dependence on the singular perturbation parameter.

Details

OriginalspracheEnglisch
PublikationsstatusVeröffentlicht - 22 Feb. 2011
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Externe IDs

ORCID /0000-0002-2458-1597/work/142659209

Schlagworte

Schlagwörter

  • math.NA, math.AP, 35J08, 35J25, 65N15