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Analyticity in Time and Smoothing Effect of Solutions to Nonlinear Schrödinger Equations

✍ Scribed by Nakao Hayashi; Keiichi Kato

Publisher
Springer
Year
1997
Tongue
English
Weight
286 KB
Volume
184
Category
Article
ISSN
0010-3616

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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