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- W2984078590 abstract "In this chapter, we establish two Carleman estimates (with different weight functions) for second order elliptic operators, i.e. Theorems 2.1 and 2.2. By means of the first one, we derive an interpolation inequality for elliptic equations, via which an observability estimate for sums of eigenfunctions of elliptic operators and a stabilization result for locally damped hyperbolic equations are proved. Based on the second one, we show a strong unique continuation property and a three-ball inequality for elliptic equations." @default.
- W2984078590 created "2019-11-22" @default.
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- W2984078590 date "2019-01-01" @default.
- W2984078590 modified "2023-09-23" @default.
- W2984078590 title "Carleman Estimates for Second Order Parabolic Operators and Applications, a Unified Approach" @default.
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- W2984078590 doi "https://doi.org/10.1007/978-3-030-29530-1_3" @default.
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