Solutions to the nonlinear Schrödinger equation carrying momentum along a curve
✍ Scribed by Fethi Mahmoudi; Marcelo Montenegro; Andrea Malchiodi
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 757 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0010-3640
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📜 SIMILAR VOLUMES
We prove local existence of analytic solutions for nonlinear Schrödinger-type equations. The class we consider includes a number of equations derived from the physical context of water waves. 1993 Academic Press, Inc.
The proof of lemma 5.2 in [1] contains several mistakes. Nevertheless, the statement is correct and is proven in an elementary fashion, correctly this time, in [3, lemma 2.4], which is in this issue of the journal. In the proof of corollary 3.2 in [1], we misquoted from Kato's textbook on perturbat
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