Sharp \(L^p\)-Carleman estimates and unique continuation (Q816611)
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scientific article; zbMATH DE number 5010588
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp \(L^p\)-Carleman estimates and unique continuation |
scientific article; zbMATH DE number 5010588 |
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Sharp \(L^p\)-Carleman estimates and unique continuation (English)
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9 March 2006
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The authors prove sharp \(L^{p}\) Carleman estimates and the corresponding unique continuation property for a second order real principal type differential equation \(P(x,D) u+V(x) u=0\) with critical potential \(V\in L_{\text{loc}}^{n/2}\) (where \(n\geq 3\)) across a nonchacteristic hypersurface under a pseudo\-convexity assumption.
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pseudoconvexity assumption
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