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Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders. (Russian, English) Zbl 1210.35015

Zh. Vychisl. Mat. Mat. Fiz. 47, No. 3, 424-437 (2007); translation in Comput. Math. Math. Phys. 47, No. 3, 407-419 (2007).
Summary: 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.

MSC:

35B20 Perturbations in context of PDEs
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