Thông tin tài liệu
Nhan đề : | A note on inhomogeneous fractional Schrödinger equations |
Tác giả : | Tarek, Saanouni Salah, Boulaaras Congming, Peng |
Năm xuất bản : | 2023 |
Nhà xuất bản : | Springer |
Tóm tắt : | 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). |
Mô tả: | CC BY |
URI: | https://link.springer.com/article/10.1186/s13661-023-01721-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7517 |
Bộ sưu tập | OER - Khoa học Tự nhiên |
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