Asymptotics for the third‐order nonlinear Schrödinger equation in the critical case
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- Nakao Hayashi
- Department of Mathematics, Graduate School of Science Osaka University Osaka Toyonaka 560‐0043 Japan
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- Elena I. Kaikina
- Centro de Ciencias Matemáticas UNAM Campus Morelia Morelia AP 61‐3 (Xangari) CP 58089 Michoacán MEXICO
書誌事項
- 公開日
- 2016-07-14
- 資源種別
- journal article
- 権利情報
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- http://onlinelibrary.wiley.com/termsAndConditions#vor
- DOI
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- 10.1002/mma.4080
- 公開者
- Wiley
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説明
<jats:p>We consider the Cauchy problem for the third‐order nonlinear Schrödinger equation where <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/mma4080-math-0001.png" xlink:title="urn:x-wiley:mma:media:mma4080:mma4080-math-0001"/> and <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/mma4080-math-0002.png" xlink:title="urn:x-wiley:mma:media:mma4080:mma4080-math-0002"/> is the Fourier transform. Our purpose in this paper is to prove the large time asymptoitic behavior of solutions for the defocusing case <jats:italic>λ</jats:italic> > 0 with a logarithmic correction under the non zero mass condition <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/mma4080-math-0003.png" xlink:title="urn:x-wiley:mma:media:mma4080:mma4080-math-0003"/> Copyright © 2016 John Wiley & Sons, Ltd.</jats:p>
収録刊行物
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- Mathematical Methods in the Applied Sciences
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Mathematical Methods in the Applied Sciences 40 (5), 1573-1597, 2016-07-14
Wiley
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詳細情報 詳細情報について
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- CRID
- 1360285705201564800
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- DOI
- 10.1002/mma.4080
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- ISSN
- 10991476
- 01704214
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- 資料種別
- journal article
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- データソース種別
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