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Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations

✍ Scribed by Hayashi, Nakao; Naumkin, P. I. (Pavel Ivanovich)

Book ID
118225279
Publisher
John Hopkins University Press
Year
1998
Tongue
English
Weight
609 KB
Volume
120
Category
Article
ISSN
0002-9327

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Sharp Lr asymptotics of the small soluti
Sharp Lr asymptotics of the small solutions to the nonlinear Schrödinger equations
✍ Naoyasu Kita 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 152 KB

This paper studies the large time behavior of the small solution to the nonlinear Schr odinger equation with power type nonlinearity. If the power is large enough, then it is well known that the nonlinear solution asymptotically behaves like a linear solution as t → ± ∞ (see e.g.