Existence and instability of normalized standing waves for the fractional Schrödinger equations in the L 2-supercritical case

Existence and instability of normalized standing waves for the fractional Schrödinger equations in the L 2-supercritical case

In this paper, we study the existence and instability of normalized standing waves for the fractional Schrödinger equation i∂tψ = (−Δ)sψ − f(ψ), where 0 < s < 1, f(ψ) = |ψ|pψ with 4sN

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Veröffentlicht in:Journal of mathematical physics 2020-07, Vol.61 (7)
Hauptverfasser: Feng, Binhua, Ren, Jiajia, Wang, Qingxuan
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we study the existence and instability of normalized standing waves for the fractional Schrödinger equation i∂tψ = (−Δ)sψ − f(ψ), where 0 < s < 1, f(ψ) = |ψ|pψ with 4sN
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0006247