Publications and Preprints

1. Rayan Fahs, Julien Royer,  «Local decay and asymptotic profile for the damped wave equation in the asymptotically Euclidean setting». HAL

2. Rayan Fahs, «Optimal time decay estimates for the electro-magnetic Schrödinger equation in  higher dimensions». HAL, Submitted. 

3. Rayan Fahs, Loïc Le Treust, Nicolas Raymond and San Vũ Ngọc, «Boundary states for the Robin magnetic Laplacian»,  Doc. Math. 29, no. 5, pp. 1157–1200, 2024,  DOI , HAL

4. Rayan Fahs, «On the semiclassical analysis of Schrödinger operators with linear electric potential in a bounded domain», Asymptotic Analysis, vol. 135, no. 1-2, pp. 81-113, 2023, DOI, HAL

5. Rayan Fahs, «Magnetic perturbations of the Robin Laplacian in the strong coupling limit», J. Math. Phys. 64 (4): 042104, 2023, DOI, HAL

PhD Thesis

• Title: Influence of Robin’s conditions on the spectrum of the magnetic Laplacian.

• Supervisors: Nicolas Raymond and Ayman Kachmar.

• PhD Commite: Jean-Marc Bouclet (reviwer), Philippe Briet (reviwer), Clotilde Fermanian Kammerer, Sonia Fliss,Yannick Guedes Bonthonneau and  Frédéric Hérau.

• Defended on July 12th, 2023.

Master Thesis

• Title: Asymptotique de la première valeur propre du Laplacien de Robin en présence d’un champ magnétique.

• Supervisor: Nicolas Raymond.