2021年8月28日
Long-time behavior of solutions to a fourth-order nonlinear Schrödinger equation with critical nonlinearity
Journal of Evolution Equations
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- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s00028-021-00737-8
- 出版者・発行元
- Springer Science and Business Media LLC
<title>Abstract</title>We consider the long-time behavior of solutions to a fourth-order nonlinear Schrödinger (NLS) equation with a derivative nonlinearity. By using the method of testing by wave packets, we construct an approximate solution and show that the solution for the fourth-order NLS has the same decay estimate for linear solutions. We prove that the self-similar solution is the leading part of the asymptotic behavior.
- リンク情報
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- DOI
- https://doi.org/10.1007/s00028-021-00737-8
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000690717200001&DestApp=WOS_CPL
- URL
- https://link.springer.com/content/pdf/10.1007/s00028-021-00737-8.pdf
- URL
- https://link.springer.com/article/10.1007/s00028-021-00737-8/fulltext.html
- ID情報
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- DOI : 10.1007/s00028-021-00737-8
- ISSN : 1424-3199
- eISSN : 1424-3202
- Web of Science ID : WOS:000690717200001