Uniqueness of \(L^p\)-boundary value problems in Lipschitz domains (Q2725265)
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scientific article; zbMATH DE number 1619051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of \(L^p\)-boundary value problems in Lipschitz domains |
scientific article; zbMATH DE number 1619051 |
Statements
30 September 2002
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special Lipschitz domain
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Schrödinger equation
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uniqueness
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Uniqueness of \(L^p\)-boundary value problems in Lipschitz domains (English)
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Let \(D\subset {\mathbb R}^n\) (\(n>2\)) be a special Lipschitz domain. The author establishes uniqueness theorems of \(L^p\) boundary value problems on \(D\) for the Schrödinger equation of the form NEWLINE\[NEWLINE-\Delta u+Vu+i\lambda u=0NEWLINE\]NEWLINE with \(1<p<n-1\), any real parameter \(\lambda\) and some potential \(V\) in the reverse Hölder class \(B_{n/2}\).
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