Arkiv för Matematik

Volume 59 (2021)

Number 1

Exponential localization in 2D pure magnetic wells

Pages: 53 – 85



Y. Guedes Bonthonneau (IRMAR, Université de Rennes, France)

N. Raymond (Laboratoire Angevin de Recherche en Mathématiques, Université Anges, France)

S. Vũ Ngọc (IRMAR, Université de Rennes, France)


We establish a magnetic Agmon estimate in the case of a purely magnetic single non-degenerate well, by means of the Fourier–Bros–Iagolnitzer transform and microlocal exponential estimates à la Martinez–Sjöstrand.

Received 27 February 2020

Received revised 22 August 2020

Accepted 11 September 2020

Published 4 May 2021