Open AccessThe Derivative Nonlinear Schrödinger Equation in Analytic Classes
Author(s) -
Zoran Grujić,
Henrik Kalisch
Publication year - 2003
Publication title -
journal of nonlinear mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.544
H-Index - 40
eISSN - 1776-0852
pISSN - 1402-9251
DOI - 10.2991/jnmp.2003.10.s1.5
Subject(s) - mathematics , smoothing , derivative (finance) , mathematical analysis , nonlinear system , schrödinger equation , second derivative , nonlinear schrödinger equation , class (philosophy) , space (punctuation) , type (biology) , physics , quantum mechanics , computer science , financial economics , artificial intelligence , operating system , economics , biology , statistics , ecology
The derivative nonlinear Schrodinger 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
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