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Spectrum of the Iwatsuka Hamiltonian at thresholds

Pablo Miranda , Nicolas Popoff
Journal of Mathematical Analysis and Applications, 2018, 460 (2), pp.516-545. ⟨10.1016/j.jmaa.2017.11.058⟩
Article dans une revue hal-02484367v1

An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter

Konstantin Pankrashkin , Nicolas Popoff
Journal de Mathématiques Pures et Appliquées, 2016, 106 (4), pp.615-650. ⟨10.1016/j.matpur.2016.03.005⟩
Article dans une revue hal-02496998v1
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Magnetic Laplacian in sharp three dimensional cones

Virginie Bonnaillie-Noël , Monique Dauge , Nicolas Popoff , Nicolas Raymond
Operator Theory Advances and Application, 254, Birkhäuser/Springer, pp.37-56, 2016, Spectral Theory and Mathematical Physics, 978-3-319-29992-1
Chapitre d'ouvrage hal-01151155v3

On the negative spectrum of the Robin Laplacian in corner domains

Vincent Bruneau , Nicolas Popoff
Analysis & PDE, 2016, 9 (5), pp.1259-1283. ⟨10.2140/apde.2016.9.1259⟩
Article dans une revue hal-01446096v1
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Limiting absorption principle for the Magnetic Dirichlet Laplacian in a half-plane.

Nicolas Popoff , Eric Soccorsi
Communications in Partial Differential Equations, 2016, 41 (6), pp.879-893. ⟨10.1080/03605302.2016.1167081⟩
Article dans une revue hal-01066569v2
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An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter

Konstantin Pankrashkin , Nicolas Popoff
2015
Pré-publication, Document de travail hal-01202601v1

Eigenvalue and Resonance Asymptotics in Perturbed Periodically Twisted Tubes: Twisting Versus Bending

Vincent Bruneau , Pablo Miranda , Daniel Parra , Nicolas Popoff
Annales Henri Poincaré, 2020, 21 (2), pp.377-403. ⟨10.1007/s00023-019-00865-5⟩
Article dans une revue hal-02484388v1

Resonances near thresholds in slightly twisted waveguides

Vincent Bruneau , Pablo Miranda , Nicolas Popoff
Proceedings of the American Mathematical Society, 2018, 146 (11), pp.4801-4812. ⟨10.1090/proc/14141⟩
Article dans une revue hal-02484377v1

Band functions of Iwatsuka models: power-like and flat magnetic fields

Nicolas Popoff
Revue roumaine de mathématiques pures et appliquées, 2019
Article dans une revue hal-02497059v1

Eigenvalue Counting Function for Robin Laplacians on Conical Domains

Vincent Bruneau , Konstantin Pankrashkin , Nicolas Popoff
The Journal of Geometric Analysis, 2018, 28 (1), pp.123-151. ⟨10.1007/s12220-017-9813-4⟩
Article dans une revue hal-02484357v1

Self-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition

Sergei Nazarov , Nicolas Popoff
Comptes Rendus. Mathématique, 2018, 356 (9), pp.927-932. ⟨10.1016/j.crma.2018.07.001⟩
Article dans une revue hal-02484380v1
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On the ground state energy of the Laplacian with a magnetic field created by a rectilinear current

Vincent Bruneau , Nicolas Popoff
Journal of Functional Analysis, 2015, 268 (5), pp.1277-1307. ⟨10.1016/j.jfa.2014.11.015⟩
Article dans une revue hal-00911208v3
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Band functions in presence of magnetic steps

Peter D. Hislop , Nicolas Popoff , Nicolas Raymond , Mikael Sundqvist
Mathematical Models and Methods in Applied Sciences, 2016, 26 (1), pp.161-184. ⟨10.1142/S0218202516500056⟩
Article dans une revue hal-01102553v1

Low-lying eigenvalues of semiclassical Schrödinger operator with degenerate wells

Jean-Francois Bony , Nicolas Popoff
Asymptotic Analysis, 2019, 112 (1-2), pp.23-36. ⟨10.3233/ASY-181493⟩
Article dans une revue hal-02400089v1

Plummeting and blinking eigenvalues of the Robin Laplacian in a cuspidal domain

Sergei Nazarov , Nicolas Popoff , Jari Taskinen
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, In press, pp.1-23. ⟨10.1017/prm.2019.48⟩
Article dans une revue hal-02484384v1