On the behavior of the derivative of a parabolic double-layer potential near the boundary (Q1571317)
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scientific article; zbMATH DE number 1473030
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the behavior of the derivative of a parabolic double-layer potential near the boundary |
scientific article; zbMATH DE number 1473030 |
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On the behavior of the derivative of a parabolic double-layer potential near the boundary (English)
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26 October 2001
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The behavior of the first derivative of a double-layer potential and the highest derivatives of a single-layer potential is analyzed near the boundary of the domain of a parabolic equation with one spatial variable. Jump formulas for these derivatives in passing through the domain boundary are derived. An example is constructed that shows a possible growth of the derivative of the double-layer potential as the boundary of the domain is approached.
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double-layer potential
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single-layer potential
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parabolic equation
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jump formulas
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0.91226554
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0.90734863
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0.89560723
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0.8812401
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0.8782652
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