On well-posedness for the inhomogeneous nonlinear Schrödinger equation in the critical case

In this paper we study the well-posedness for the inhomogeneous nonlinear Schrödinger equation i∂tu+Δu=λ|x|−α|u|βu in Sobolev spaces Hs, s≥0. The well-posedness theory for this model has been intensively studied in recent years, but much less is understood compared to the classical NLS model where α...

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Veröffentlicht in:	Journal of Differential Equations 2021-04, Vol.280, p.179-202
Hauptverfasser:	Kim, Jungkwon, Lee, Yoonjung, Seo, Ihyeok
Format:	Artikel
Sprache:	eng
Schlagworte:	Nonlinear Schrödinger equations Weighted estimates Well-posedness
Online-Zugang:	Volltext
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