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Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces and applications

✍ Scribed by Shangbin Cui; Cuihua Guo


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
401 KB
Volume
67
Category
Article
ISSN
0362-546X

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Nonlinear Schrödinger Equations in the S
✍ M Nakamura; T Ozawa 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 310 KB

The Cauchy problem for the nonlinear Schro dinger equations is considered in the Sobolev space H nÂ2 (R n ) of critical order nÂ2, where the embedding into L (R n ) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the ex