Affiliation:
1. Department of Mathematics Northwest Normal University Lanzhou China
Abstract
In this paper, we consider the strong instability of standing waves for the Hartree equation with a partial/complete harmonic potential
where
. By establishing the corresponding profile decomposition theory, we first obtain the variational characterization of ground state solutions. Then, we deduce that there exists
such that for all
, the ground state standing wave
is strongly unstable by blow‐up. Our results give an improvement for some recent results.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics