3 papers
math.SP2026
Spectral asymptotics for a class of singular Sturm-Liouville operators with applications to magnetic Laplacian and a-zeros of Kummer functions
Roman Vanlaere
We provide a precise description of the bottom of the spectrum in the semiclassical limit of a harmonic-type Schrödinger operator with an inverse square potential. By exploiting t…
math.AP2026
Observability properties of the singular Grushin equation
Roman Vanlaere
We study the observability properties of the Grushin equation with an inverse square potential, whose singularity occurs at the boundary of two-dimensional rectangular domains or i…
math.OC2026
Non null-controllability properties of the Grushin-like heat equation on 2D-manifolds
Roman Vanlaere
We study the internal non null-controllability properties of the heat equation on 2-dimensional almost-Riemannian manifolds with an interior singularity, and under the assumption t…