Global well-posedness and critical norm concentration for inhomogeneous biharmonic NLS

Autor: Mykael Cardoso, Carlos M. Guzmàn, Ademir Pastor
Rok vydání: 2022
Předmět:
Zdroj: Monatshefte für Mathematik. 198:1-29
ISSN: 1436-5081
0026-9255
Popis: We consider the inhomogeneous biharmonic nonlinear Schr\"odinger (IBNLS) equation in $\mathbb{R}^N$, $$i \partial_t u +\Delta^2 u -|x|^{-b} |u|^{2\sigma}u = 0,$$ where $\sigma>0$ and $b>0$. We first study the local well-posedness in $\dot H^{s_c}\cap \dot H^2 $, for $N\geq 5$ and $0
Comment: 22 pages
Databáze: OpenAIRE
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