On growth in time of Sobolev norms of smooth solutions of nonlinear Schrödinger equations in ℝD
✍ Scribed by J. Bourgain
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- English
- Weight
- 373 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0021-7670
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📜 SIMILAR VOLUMES
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
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