The asymptotic stability on the line of ground states of the pure power
NLS with $0<|p-3|\ll 1$
The asymptotic stability on the line of ground states of the pure power
NLS with $0<|p-3|\ll 1$
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 Schr\"odinger equation (NLS) with pure power nonlinearity of exponent $p$ in the line are asymptotically stable. The proof is similar to a related result of Martel, …