Strong instability of standing waves for the fractional Choquard equation
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DOI: 10.1063/1.5043473
Abstract: Using variational methods and the potential well theory, strong instability of standing waves for a class of fractional Schrodinger-Choquard equations is established in the mass super-critical and energy sub-critical case.Using variational methods and the potential… read more here.
Keywords: strong instability; instability standing; standing waves; waves fractional ... See more keywords
Existence and instability of normalized standing waves for the fractional Schrödinger equations in the L2-supercritical case
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DOI: 10.1063/5.0006247
Abstract: In this paper, we study the existence and instability of normalized standing waves for the fractional Schrodinger equation i∂tψ = (−Δ)sψ − f(ψ), where 0 < s < 1, f(ψ) = |ψ|pψ with 4sN read more here.
Keywords: existence; instability normalized; normalized standing; waves fractional ... See more keywords