Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation


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For a singularly perturbed parabolic equation, asymptotics of the solution to an initial boundary value problem in the case of a triple root of the degenerate equation is constructed and justified. Essential distinctions from the case of a simple root are the scale of the boundary layer variables and the three-zone structure of the boundary layer.

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V. Butuzov

Faculty of Physics

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Email: butuzov@phys.msu.ru
俄罗斯联邦, Leninskie Gory, Moscow, 119991

A. Bychkov

Faculty of Physics

Email: butuzov@phys.msu.ru
俄罗斯联邦, Leninskie Gory, Moscow, 119991

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