Counterexamples and uniqueness for \(L^{p}(\partial \Omega )\) oblique derivative problems (Q883501)
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scientific article; zbMATH DE number 5161230
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counterexamples and uniqueness for \(L^{p}(\partial \Omega )\) oblique derivative problems |
scientific article; zbMATH DE number 5161230 |
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Counterexamples and uniqueness for \(L^{p}(\partial \Omega )\) oblique derivative problems (English)
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4 June 2007
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Explicit examples with vanishing oblique derivative in \(L^p\), \(p\leq 2\), are given, where the continuous vector field is replaced by a large perturbation of the normal vector field. Other example and Fredholm properties of some non-variational layer potential are discussed.
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oblique derivative problems
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inner function
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circular monotonicity
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layer potentials
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Lipschitz domain
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nontangential limits
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0.9002898
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0.89742815
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0.8966951
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0.88449204
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0.8834374
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