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Time decay of solutions to a nonlinear Schrödinger equation in an exterior domain in R2

✍ Scribed by Yao Jingqi


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
439 KB
Volume
19
Category
Article
ISSN
0362-546X

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Regularity in Time of Solutions to Nonli
✍ N. Hayashi; K. Kato 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 655 KB

In this paper we consider the regularity of solutions to nomlinear Schrödinger equations (NLS), \[ \begin{aligned} i \hat{C}, u+\frac{1}{3} \| u & =F(u, u) . & & (t, x) \in \mathbb{R} \times \mathbb{B}^{\prime \prime}, \\ u(0) & =\phi . & & x \in \mathbb{R}^{u} . \end{aligned} \] where \(F\) is a po