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Sharp \(L^p\)-Carleman estimates and unique continuation - MaRDI portal

Sharp \(L^p\)-Carleman estimates and unique continuation (Q816611)

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scientific article; zbMATH DE number 5010588
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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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