Indexed metadata
Stability of standing wave for the fractional nonlinear Schrödinger equation
Congming Peng, Qihong Shi
Source abstract
In this paper, we study the stability and instability of standing waves for the fractional nonlinear Schrödinger equation i∂tu = (−Δ)su − |u|2σu, where (t,x)∈R × RN, 12<s<1, and N ≥ 2. Using a sharp Gagliardo-Nirenberg-type inequality and profile decomposition, we obtain that when 0<σ<2sN, the standing waves are orbitally stable; when σ=2sN, the ground state solitary waves are strongly unstable to blowup.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.