The asymptotic stability on the line of ground states of the pure power NLS with $0<|p-3|\ll 1$

Scipio Cuccagna, Masaya Maeda

For exponents $p$ satisfying $0<|p-3|\ll 1$ and only in the context of spatially even solutions we prove that the ground states of the nonlinear Schrödinger equation (NLS) with pur…