Analytic Solutions to Nonelliptic Nonlinear Schrödinger Equations
✍ Scribed by A. Debouard
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 495 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0022-0396
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
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
The standing wave solution to the Schriidinger equation defined in terms of the standing wave Green's function for the full Hamiltonian is discussed. This solution is compared with the more usual standing wave solution. The former is shown to be onehalf the sum of the usual ingoing and outgoing wave