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20 papers · 2 filters
Generic colourful tori and inverse spectral transform for Hankel operators
Patrick Gerard, Sandrine Grellier
This paper explores the regularity properties of an inverse spectral transform for Hilbert--Schmidt Hankel operators on the unit disc. This spectral transform plays the role of act…
Asymptotic properties of small data solutions of the Vlasov-Maxwell system in high dimensions
Léo Bigorgne
We prove almost sharp decay estimates for the small data solutions and their derivatives of the Vlasov-Maxwell system in dimension . The smallness assumption concerns onl…
Control of three dimensional water waves
Hui Zhu
We study the exact controllability for spatially periodic water waves with surface tension, by localized exterior pressures applied to free surfaces. We prove that in any dimension…
Extremizers for the Airy-Strichartz inequality
Rupert L. Frank, Julien Sabin, Rupert Frank
We identify the compactness threshold for optimizing sequences of the Airy-- Strichartz inequality as an explicit multiple of the sharp constant in the Strichartz inequality. In pa…
Localization of eigenfunctions via an effective potential
Douglas N. Arnold, Guy David, Marcel Filoche +2
We consider the localization of eigenfunctions for the operator $L=-\mbox{div} A \nabla + V$ on a Lipschitz domain and, more generally, on manifolds with and without boundary.…
Long time estimates for the Vlasov-Maxwell system in the non-relativistic limit
Daniel Han-Kwan, Toan T. Nguyen, Frederic Rousset
In this paper, we study the Vlasov-Maxwell system in the non-relativistic limit, that is in the regime where the speed of light is a very large parameter. We consider data lying in…