74 citations · 409 across the 32 of their papers we have counts for
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math.AP2020
Trace Hardy inequality for the Euclidean space with a cut and its applications
Monique Dauge, Michal Jex, Vladimir Lotoreichik
We obtain a trace Hardy inequality for the Euclidean space with a bounded cut , . In this novel geometric setting, the Hardy-type inequality non-typic…
math.FA2020★ 1 cited
Characterization of Sobolev spaces by their Fourier coefficients in axisymmetric domains
Martin Costabel, Monique Dauge, Jun-Qi Hu
Using Fourier series representations of functions on axisymmetric domains, we find weighted Sobolev norms of the Fourier coefficients of a function that yield norms equivalent to t…
math.SP2020★ 10 cited
Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index
Stéphane Balac, Monique Dauge, Zoïs Moitier
Whispering gallery modes [WGM] are resonant modes displaying special features: They concentrate along the boundary of the optical cavity at high polar frequencies and they are asso…