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Title: A note on inhomogeneous fractional Schrödinger equations
Authors: Tarek, Saanouni
Salah, Boulaaras
Congming, Peng
Issue Date: 2023
Publisher: Springer
Abstract: We use the associated ground states and some sharp Gagliardo–Nirenberg inequalities. Moreover, we investigate the L2 concentration of the mass-critical blowing-up solutions. Finally, in the attractive regime, we prove the scattering of energy global solutions. Since there is a loss of regularity in Strichartz estimates for the fractional Schrödinger problem with nonradial data, in this work, we assume that u|t=0 is spherically symmetric. The blowup results use ideas of the pioneering work by Boulenger el al. (J. Funct. Anal. 271:2569–2603, 2016).
Description: CC BY
URI: https://link.springer.com/article/10.1186/s13661-023-01721-6
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7517
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