دورية أكاديمية
Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation
| العنوان: | Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation |
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| المؤلفون: | Binhua, Feng, Chen, Ruipeng, Liu, Jiayin |
| المصدر: | Advances in Nonlinear Analysis ; volume 10, issue 1, page 311-330 ; ISSN 2191-950X 2191-9496 |
| بيانات النشر: | Walter de Gruyter GmbH |
| سنة النشر: | 2020 |
| الوصف: | In this paper, we study blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation $$\begin{array}{} \displaystyle i\partial_t\psi- (-{\it\Delta})^s \psi+(I_\alpha \ast |\psi|^{p})|\psi|^{p-2}\psi=0. \end{array}$$ By using localized virial estimates, we firstly establish general blow-up criteria for non-radial solutions in both L 2 -critical and L 2 -supercritical cases. Then, we show existence of normalized standing waves by using the profile decomposition theory in H s . Combining these results, we study the strong instability of normalized standing waves. Our obtained results greatly improve earlier results. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| DOI: | 10.1515/anona-2020-0127 |
| DOI: | 10.1515/anona-2020-0127/xml |
| DOI: | 10.1515/anona-2020-0127/pdf |
| الإتاحة: | https://doi.org/10.1515/anona-2020-0127Test https://www.degruyter.com/view/journals/anona/10/1/article-p311.xmlTest |
| حقوق: | http://creativecommons.org/licenses/by/4.0Test |
| رقم الانضمام: | edsbas.5DEB68A5 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1515/anona-2020-0127 |
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