Ryan L. Acosta Babb

collaborators

3 papers

math.AP2025

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $T^{3}$

Ryan L. Acosta Babb, Andrew Rout

In this article, we consider Hartree equations generalised to $2 p + 1$ order nonlinearities. These equations arise in the study of the mean-field limits of Bose gases with $p$ -body i…

math.CA2024

A partial converse to the Riemann--Lebesgue lemma for Bessel--Fourier series of order zero

Ryan L. Acosta Babb

It is known that the Bessel--Fourier coefficients $f_{m}$ of a function $f$ such that $x f (x)$ is integrable over $[0, 1]$ satisfy $f_{m} / m \to 0$ . We show a partial convers…

math.AP2024

$L^{p}$ continuity of eigenprojections for 2-d Dirichlet Laplacians under perturbations of the domain

Ryan L. Acosta Babb, James C. Robinson

We generalise results by Lamberti and Lanza de Cristoforis (2005) concerning the continuity of projections onto eigenspaces of self-adjoint differential operators with compact inve…

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on T3

A partial converse to the Riemann--Lebesgue lemma for Bessel--Fourier series of order zero

Lp continuity of eigenprojections for 2-d Dirichlet Laplacians under perturbations of the domain

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $T^{3}$

$L^{p}$ continuity of eigenprojections for 2-d Dirichlet Laplacians under perturbations of the domain