A note on inhomogeneous fractional Schrödinger equations
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1186/s13661-023-01721-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7517 |
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oai:localhost:PNK-75172023-04-05T01:30:08Z A note on inhomogeneous fractional Schrödinger equations Tarek, Saanouni Salah, Boulaaras Congming, Peng sharp Gagliardo–Nirenberg inequalities loss of regularity in Strichartz CC BY 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). 2023-04-05T01:30:08Z 2023-04-05T01:30:08Z 2023 Book https://link.springer.com/article/10.1186/s13661-023-01721-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7517 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
sharp Gagliardo–Nirenberg inequalities loss of regularity in Strichartz |
| spellingShingle |
sharp Gagliardo–Nirenberg inequalities loss of regularity in Strichartz Tarek, Saanouni Salah, Boulaaras Congming, Peng A note on inhomogeneous fractional Schrödinger equations |
| description |
CC BY |
| format |
Book |
| author |
Tarek, Saanouni Salah, Boulaaras Congming, Peng |
| author_facet |
Tarek, Saanouni Salah, Boulaaras Congming, Peng |
| author_sort |
Tarek, Saanouni |
| title |
A note on inhomogeneous fractional Schrödinger equations |
| title_short |
A note on inhomogeneous fractional Schrödinger equations |
| title_full |
A note on inhomogeneous fractional Schrödinger equations |
| title_fullStr |
A note on inhomogeneous fractional Schrödinger equations |
| title_full_unstemmed |
A note on inhomogeneous fractional Schrödinger equations |
| title_sort |
note on inhomogeneous fractional schrödinger equations |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1186/s13661-023-01721-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7517 |
| _version_ |
1762365498102644736 |
| score |
8.88091 |