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The Smoothness of Scattering Operators for Sinh-Gordon and Nonlinear Schrödinger Equations

✍ Scribed by Bao Xiang Wang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2002
Tongue
English
Weight
249 KB
Volume
18
Category
Article
ISSN
1439-7617

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Energy Scattering for Nonlinear Klein–Go
✍ Kenji Nakanishi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 250 KB

dedicated to professors jean ginibre and walter a. strauss on their sixtieth birthdays We show that when n=1 and 2, the scattering operators are well-defined in the whole energy space for nonlinear Klein Gordon and Schro dinger equations in R 1+n with nonlinearity |u| p&1 u, p>1+4Ân. Such results h