TY - JOUR
T1 - Analytic Regularity for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters
AU - Sykopetritou , Irene
AU - Xenophontos , Christos
JO - Communications in Mathematical Research 
VL - 2
SP - 125
EP - 153
PY - 2024
DA - 2024/05
SN - 40
DO - http://doi.org/10.4208/cmr.2023-0025
UR - https://global-sci.org/intro/article_detail/cmr/23085.html
KW - Singularly perturbed problem, reaction-convection-diffusion, boundary layers, analytic regularity.
AB - <p style="text-align: justify;">We consider a second order, two-point, singularly perturbed boundary value problem, of reaction-convection-diffusion type with two small parameters, and we obtain analytic regularity results for its solution, under the
assumption of analytic input data. First, we establish classical differentiability
bounds that are explicit in the order of differentiation and the singular perturbation parameters. Next, for small values of these parameters we show that
the solution can be decomposed into a smooth part, boundary layers at the two
endpoints, and a negligible remainder. Derivative estimates are obtained for
each component of the solution, which again are explicit in the differentiation
order and the singular perturbation parameters.</p>