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- W1964804932 abstract "We prove sharp Lp Carleman estimates and the corresponding unique continuation results for second-order real principal-type differential equations P(x,D)u+V(x)u=0 with critical potential V∈Llocn/2 (where n≥3 is the dimension) across a noncharacteristic hypersurface under a pseudoconvexity assumption. Similarly, we prove unique continuation results for differential equations with potential in the Calderón uniqueness theorem's context under a curvature condition. We also investigate (Lp-Lp')-estimates for non-self-adjoint pseudodifferential operators under a curvature condition on the characteristic set and develop the natural applications to local solvability for the corresponding operators with potential." @default.
- W1964804932 created "2016-06-24" @default.
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- W1964804932 date "2005-09-15" @default.
- W1964804932 modified "2023-09-25" @default.
- W1964804932 title "Sharp Lp Carleman estimates and unique continuation" @default.
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- W1964804932 doi "https://doi.org/10.1215/s0012-7094-05-12933-7" @default.
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