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Existence and instability of normalized standing waves for the fractional Schrödinger equations in the L2-supercritical case

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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)… Click to show full 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

Keywords: existence; instability normalized; normalized standing; waves fractional; existence instability; standing waves

Journal Title: Journal of Mathematical Physics
Year Published: 2020

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