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math.AP2019
Towards Optimal Gradient Bounds for the Torsion Function in the Plane
Jeremy G. Hoskins, Stefan Steinerberger
Let be a bounded, convex domain and let be the solution of vanishing on the boundary . The estimate $$ \| \nabla u\|_{L^{\infty}(Ω…
math.AP2019★ 1 cited
A Transport Model for Multi-Frequency Acousto-Optic Tomography
Francis J. Chung, Jeremy G. Hoskins, John C. Schotland
In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the…
math.AP2019
A Note on the Transport Method for Hybrid Inverse Problems
Francis J. Chung, Jeremy G. Hoskins, John C. Schotland
There are several hybrid inverse problems for equations of the form in which we want to obtain the coefficients and on a domain when…