Simon Larson
My research is in analysis, mainly focused towards spectral theory of differential operators. I am particularly interested in sharp inequalities, shape optimization problems, semiclassical spectral asymptotics, and the analysis of one-dimensional Schrödinger operators.
Showing 20 publications
Discrete Schrödinger operators with decaying and oscillating potentials
Decay of extremals of Morrey’s inequality
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena
An inequality for the normal derivative of the Lane-Emden ground state
DISCRETE SCHRODINGER OPERATORS WITH DECAYINGAND OSCILLATING POTENTIALS
A sharp multidimensional Hermite-Hadamard inequality
On the spectrum of the Kronig-Penney model in a constant electric field
Improved bounds for Hermite-Hadamard inequalities in higher dimensions
Semiclassical asymptotics for a class of singular Schrödinger operators
Lieb-Thirring inequalities for wave functions vanishing on the diagonal set
Two consequences of Davies' Hardy inequality
Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain
On the error in the two-term Weyl formula for the Dirichlet Laplacian
Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains
Maximizing Riesz means of anisotropic harmonic oscillators
Exclusion bounds for extended anyons
Asymptotic behaviour of cuboids optimising Laplacian eigenvalues
On the remainder term of the Berezin inequality on a convex domain
A bound for the perimeter of inner parallel bodies
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