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The Hölder regularity of div-curl system with anisotropic coefficients
Yu Lei, Basang Tsering-xiao
This research examines the regularity of weak solutions to the Div-Curl system with low regularity anisotropic coefficients. The Hölder regularity of the Div-Curl system with one a…
Regularity of solutions to time-harmonic Maxwell's system with Hölder and various lower than Hölder continuous coefficients
Lei Yu, Basang Tsering-xiao
The purpose of this paper is to establish a complete Schauder theory for the second-order linear elliptic equation and the time-harmonic Maxwell's system. We prove global Hölder re…
Regularity of solutions to time-harmonic Maxwell's system with various lower than Lipschitz coefficients
Basang Tsering-Xiao, Wei Xiang
In this paper, we study the regularity of the solutions of Maxwell's equations in a bounded domain. We consider several different types of low regularity assumptions to the coeffic…
On one dimensional inverse problems arising from polarimetric measurements of nematic liquid crystals
Yves Capdeboscq, Basang Tsering-Xiao
We revisit the problem of determining dielectric parameters in layered nematic liquid crystals from polarimetric measurements originally introduced by Lionheart & Newton. After a d…