Geodesic
Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 3, pp. 424-437

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The solution to a singularly perturbed parabolic equation with internal and boundary layers whose stretched variables may depend on different powers of the perturbation parameter is considered. An asymptotic representation of the solution is constructed and substantiated, and its stability is proved. 
@article{ZVMMF_2007_47_3_a5,
     author = {E. E. Bukzhalev and A. B. Vasil'eva},
     title = {Solutions to a~singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {424--437},
     publisher = {mathdoc},
     volume = {47},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_3_a5/}
}
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E. E. Bukzhalev; A. B. Vasil'eva. Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 3, pp. 424-437. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_3_a5/