Simon Larson
Min forskning är inom analys med huvudsakligt fokus mot spektralteori för differentialoperatorer. Jag är i synnerhet intresserad av skarpa olikheter, formoptimeringsproblem, semiklassisk spektralasymptotik, och analys av endimensionella Schrödingeroperatorer.
Visar 25 publikationer
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Improved semiclassical eigenvalue estimates for the Laplacian and the Landau Hamiltonian
Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains
A Jensen inequality for partial traces and applications to partially semiclassical limits
Spectral Asymptotics for Robin Laplacians on Lipschitz Sets
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena
Decay of extremals of Morrey’s inequality
An inequality for the normal derivative of the Lane-Emden ground state
DISCRETE SCHRODINGER OPERATORS WITH DECAYING AND 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
On the error in the two-term Weyl formula for the Dirichlet Laplacian
Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain
Maximizing Riesz means of anisotropic harmonic oscillators
Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains
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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