21 citations · 30 across the 2 of their papers we have counts for
2 papers
math-ph2018★ 21 cited
Resolvent convergence to Dirac operators on planar domains
Jean-Marie Barbaroux, Horia D. Cornean, Loïc Le Treust +1
Consider a Dirac operator defined on the whole plane with a mass term of size m supported outside a domain Omega. We give a simple proof for the norm resolvent convergence, as m go…
math.AP2016★ 9 cited
Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian
Soeren Fournais, Loïc Le Treust, Nicolas Raymond +1
This paper is devoted to the asymptotic analysis of the optimal Sobolev constants in the semiclassical limit and in any dimension. We combine semiclassical arguments and concentrat…