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math.AP2015★ 20 cited
The Calderón problem with partial data for conductivities with derivatives
Katya Krupchyk, Gunther Uhlmann
We extend a global uniqueness result for the Calderón problem with partial data, due to Kenig-Sjöstrand-Uhlmann, to the case of less regular conductivities. Specifically, we show t…
math.AP2015
From semiclassical Strichartz estimates to uniform resolvent estimates on compact manifolds
Nicolas Burq, David Dos Santos Ferreira, Katya Krupchyk
We prove uniform resolvent estimates for the stationary damped wave operator. The uniform resolvent estimates for the Laplace operator on a compact smooth Riemannian ma…
math.AP2015
Bounds on eigenfunctions of semiclassical operators with double characteristics
Katya Krupchyk, Gunther Uhlmann
We obtain sharp uniform bounds on the low lying eigenfunctions for a class of semiclassical pseudodifferential operators with double characteristics and complex valued symbols, und…