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- W2785256918 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." @default.
- W2785256918 created "2018-02-02" @default.
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- W2785256918 date "2018-01-01" @default.
- W2785256918 modified "2023-10-16" @default.
- W2785256918 title "Stability of standing wave for the fractional nonlinear Schrödinger equation" @default.
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- W2785256918 doi "https://doi.org/10.1063/1.5021689" @default.
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