Calderón's problem for \(p\)-Laplace type equations (Q2796499)
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scientific article; zbMATH DE number 6560393
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Calderón's problem for \(p\)-Laplace type equations |
scientific article; zbMATH DE number 6560393 |
Statements
24 March 2016
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\(p\)-Laplace equation
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Calderon problem
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conductivity recovery from measurements
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math.AP
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Calderón's problem for \(p\)-Laplace type equations (English)
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The author is concerned with the study of general Calderon's problem of recovering the conductivity coefficient from boundary measurements. The model equation considered by the author is \(\text{div}(\sigma |\nabla u|^{p-2}\nabla u)=0\) with \(1<p<\infty\). The dissertation contains results related to the direct problem, boundary determination and detecting inclusions. In the context of boundary determination, the gradient of conductivity is recovered through a Rellich-type identity. Other techniques described by the author rely on enclosure methods in the spirit of Ikehata in order to describe the convex hull of an inclusion of finite conductivity.
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