3 papers
math.AP2022
Recovery of a cubic nonlinearity for the nonlinear Schrödinger equation
Christopher C. Hogan, Jason Murphy, David Grow
We consider the problem of recovering a spatially-localized cubic nonlinearity in a nonlinear Schrödinger equation in dimensions two and three. We prove that solutions with data gi…
math.CA2021
Almost everywhere convergence of Fourier series on compact connected Lie groups
David Grow, Donnie Myers
We consider the open problem: Does every square-integrable function f on a compact, connected Lie group G have an almost everywhere convergent Fourier series? We prove a general th…
math.CA2020
Almost everywhere convergence of Fourier series on SU(2): the case of Holder continuous functions
David Grow, Donnie Myers
We consider an aspect of the open problem: Does every square-integrable function on SU(2) have an almost everywhere convergent Fourier series? Let 0 < alpha < 1. We show that to ea…