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On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain

✍ Scribed by Feng, Binhua; Zhao, Dun; Sun, Chunyou


Book ID
122141090
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
419 KB
Volume
416
Category
Article
ISSN
0022-247X

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Cauchy problem for the -critical nonline
✍ Daoyuan Fang; Sijia Zhong 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 223 KB 👁 1 views

In this paper, we consider solutions of the L 2 -critical focusing nonlinear Schrödinger equation on R 2 for the initial data in H s (s < 1), mainly about the L 2 concentration phenomena for blow-up solutions and global well-posedness for small initial data.