3 papers
math.AP2023★ 4 cited
Asymptotic Stability of Solitary Waves for One Dimensional Nonlinear Schrödinger Equations
Charles Collot, Pierre Germain
We show global asymptotic stability of solitary waves of the nonlinear Schrödinger equation in space dimension 1. Furthermore, the radiation is shown to exhibit long range scatteri…
math.AP2022
Bounds for spectral projectors on generic tori
Pierre Germain, Simon L. Rydin Myerson
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on generic tori, including generic rectangular tori. We state a conjecture and partially prov…
math.AP2018
Existence and uniqueness of solutions for a quasilinear KdV equation with degenerate dispersion
Pierre Germain, Benjamin Harrop-Griffiths, Jeremy Marzuola
We consider a quasilinear KdV equation that admits compactly supported traveling wave solutions (compactons). This model is one of the most straightforward instances of degenerate…