Unique continuation for elliptic operators with non-multiple characteristics (Q1580495)
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scientific article; zbMATH DE number 1506580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unique continuation for elliptic operators with non-multiple characteristics |
scientific article; zbMATH DE number 1506580 |
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Unique continuation for elliptic operators with non-multiple characteristics (English)
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4 June 2001
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The paper deals with a unique continuation theorem for elliptic operators of the form \(P(D)+V(x).\) \(P(D)\) is an elliptic operator with real constant coefficients of order \(m,\) with \(2\leq m\leq n\) and \(n\leq 3\) and with simple complex characteristics; \(V(x)\) belongs to \(L^{n/m}(\mathbb R^n).\) To prove the main result of the paper, a restriction theorem for the Fourier transform to manifolds of codimension 2 is used.
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elliptic operators
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simple complex characteristics
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unique continuation
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Fourier transform
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restriction theorem
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