A steplike contrast structure in a singularly perturbed system of elliptic equations |
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Authors: | V. F. Butuzov N. T. Levashova A. A. Mel’nikova |
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Affiliation: | 1. Faculty of Physics, Lomonosov Moscow State University, Moscow, 119992, Russia
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Abstract: | A singularly perturbed boundary value problem for a system of elliptic equations in a two-dimensional region is considered. The asymptotics and existence of a solution with an internal transition layer are studied. The asymptotics is justified by the method of differential inequalities. |
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