The Derivative Nonlinear Schrödinger Equation in Analytic Classes

DOI

10.2991/jnmp.2003.10.s1.5How to use a DOI?

Abstract

The derivative nonlinear Schrödinger equation is shown to be locally well-posed in a class of functions analytic on a strip around the real axis. The main feature of the result is that the width of the strip does not shrink in time. To overcome the derivative loss, Kato-type smoothing results and space-time estimates are used.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Zoran Grujić
AU  - Henrik Kalisch
PY  - 2003
DA  - 2003/08/01
TI  - The Derivative Nonlinear Schrödinger Equation in Analytic Classes
JO  - Journal of Nonlinear Mathematical Physics
SP  - 62
EP  - 71
VL  - 10
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s1.5
DO  - 10.2991/jnmp.2003.10.s1.5
ID  - Grujić2003
ER  -