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math.AP2021
On optimal cloaking-by-mapping transformations
Yves Capdeboscq, Michael Vogelius
A central ingredient of cloaking-by-mapping is the diffeomorphisn which transforms an annulus with a small hole into an annulus with a finite size hole, while being the identity on…
math.AP2021
Small perturbations in the type of boundary conditions for an elliptic operator
Eric Bonnetier, Charles Dapogny, Michael S. Vogelius
In this article, we study the impact of a change in the type of boundary conditions of an elliptic boundary value problem. In the context of the conductivity equation we consider a…