Geodesic
The regularized asymptotics in the singularly perturbed parabolic problem with angular boundary layers
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 103-112

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A regularized asymptotics of solution for singulary perturbed parabolic problem is built in domains with corner points as a boundary. The asymptotics of such problems includes both ordinary boundary layer functions as parabolic boundary layer functions and their products, which descreibe corner boundary layer. 
@article{SEMR_2007_4_a6,
     author = {A. S. Omuraliev},
     title = {The regularized asymptotics in the singularly perturbed parabolic problem with angular boundary layers},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {103--112},
     publisher = {mathdoc},
     volume = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2007_4_a6/}
}
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A. S. Omuraliev. The regularized asymptotics in the singularly perturbed parabolic problem with angular boundary layers. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 103-112. http://geodesic.mathdoc.fr/item/SEMR_2007_4_a6/