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Dr Sabine Boegli's Outputs (4)

Counterexample to the Laptev-Safronov Conjecture (2022)
Journal Article
Boegli, S., & Cuenin, J.-C. (2023). Counterexample to the Laptev-Safronov Conjecture. Communications in Mathematical Physics, 398(3), 1349-1370. https://doi.org/10.1007/s00220-022-04546-z

Laptev and Safronov (Commun Math Phys 292(1):29–54, 2009) conjectured an inequality between the magnitude of eigenvalues of a non-self-adjoint Schrödinger operator on Rd, d≥2, and an Lq norm of the potential, for any q∈[d/2,d]. Frank (Bull Lond Math... Read More about Counterexample to the Laptev-Safronov Conjecture.

A Spectral Theorem for the Semigroup Generated by a Class of Infinitely Many Master Equations (2022)
Journal Article
Boegli, S., & Vuillermot, P.-A. (2022). A Spectral Theorem for the Semigroup Generated by a Class of Infinitely Many Master Equations. Acta Applicandae Mathematicae, 178(1), Article 4. https://doi.org/10.1007/s10440-022-00478-x

In this article we investigate the spectral properties of the infinitesimal generator of an infinite system of master equations arising in the analysis of the approach to equilibrium in statistical mechanics. The system under consideration thus consi... Read More about A Spectral Theorem for the Semigroup Generated by a Class of Infinitely Many Master Equations.

On the eigenvalues of the Robin Laplacian with a complex parameter (2022)
Journal Article
Boegli, S., Kennedy, J. B., & Lang, R. (2022). On the eigenvalues of the Robin Laplacian with a complex parameter. Analysis and Mathematical Physics, 12(1), Article 39. https://doi.org/10.1007/s13324-022-00646-0

We study the spectrum of the Robin Laplacian with a complex Robin parameter α on a bounded Lipschitz domain Ω. We start by establishing a number of properties of the corresponding operator, such as generation properties, analytic dependence of the ei... Read More about On the eigenvalues of the Robin Laplacian with a complex parameter.

Spectral analysis and domain truncation for Maxwell's equations (2022)
Journal Article
Bögli, S., Ferraresso, F., Marletta, M., & Tretter, C. (2023). Spectral analysis and domain truncation for Maxwell's equations. Journal de Mathématiques Pures et Appliquées, 170, 96-135. https://doi.org/10.1016/j.matpur.2022.12.004

We analyse how the spectrum of the anisotropic Maxwell system with bounded conductivity σ on a Lipschitz domain Ω is approximated by domain truncation. First we prove a new non-convex enclosure for the spectrum of the Maxwell system, with weak assump... Read More about Spectral analysis and domain truncation for Maxwell's equations.