31 citations · 156 across the 44 of their papers we have counts for
52 papers
Scattering regularity for small data solutions of the nonlinear Schrödinger equation
Jesse Gell-Redman, Sean Gomes, Andrew Hassell
Using the Fredholm theory of the linear time-dependent Schrödinger equation set up in our previous article arXiv:2201.03140, we solve the final-state problem for the nonlinear Schr…
Function spaces for decoupling
Andrew Hassell, Pierre Portal, Jan Rozendaal +1
We introduce new function spaces that yield a natural reformulation of the decoupling inequalities for the sphere and the…
Propagation of singularities and Fredholm analysis for the time-dependent Schrödinger equation
Jesse Gell-Redman, Sean Gomes, Andrew Hassell
We study the time-dependent Schrödinger operator acting on functions defined on , where, using coordinates and $t \in \ma…
Regularity of the Scattering Matrix for Nonlinear Helmholtz Eigenfunctions
Jesse Gell-Redman, Andrew Hassell, Jacob Shapiro
We study the nonlinear Helmholtz equation on , , odd, and more generally , where …
and regularity for wave equations with rough coefficients
Andrew Hassell, Jan Rozendaal
We consider wave equations with time-independent coefficients that have regularity in space. We show that, for nontrivial ranges of and , the standard inhomogeneou…
Existence and asymptotics of nonlinear Helmholtz eigenfunctions
Jesse Gell-Redman, Andrew Hassell, Jacob Shapiro +1
We prove the existence and asymptotic expansion of a large class of solutions to nonlinear Helmholtz equations of the form \begin{equation*} (Δ- λ^2) u = N[u], \end{equation*} wher…