A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter (Q5954730)
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scientific article; zbMATH DE number 1701716
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter |
scientific article; zbMATH DE number 1701716 |
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A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter (English)
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19 September 2002
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The authors examine a system of two elliptic equations with different powers of a small parameter multiplying the derivatives in differential equations. The existence of a solution with internal transition layer in the neighborhood of some closed curve is proved. Asymptotics of an arbitrary order in the small parameter are constructed for that solution.
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degenerate system
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asymptotics of solution
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existence
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internal transition layer
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