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A note on inhomogeneous fractional Schrödinger equations

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Main Authors: Tarek, Saanouni, Salah, Boulaaras, Congming, Peng
Format: Book
Language:English
Published: Springer 2023
Subjects:
sharp Gagliardo–Nirenberg inequalities
loss of regularity in Strichartz
Online Access:https://link.springer.com/article/10.1186/s13661-023-01721-6
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7517
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spelling 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 8.891145

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