Geodesic
Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 22-33

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The first boundary value problem for a one-dimensional singularly perturbed convection-diffusion equation with variable coefficients on a finite interval is considered. For the regular component of the solution, unimprovable a priori estimates in the Hölder norms are obtained. The estimates are unimprovable in the sense that they fail on any weakening of the estimating norm. 
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     title = {Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation},
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V. B. Andreev. Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 22-33. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a2/