Analytic smoothing effect for the cubic hyperbolic Schrodinger equation in two space dimensions

We study the Cauchy problem for the cubic hyperbolic Schrodinger equation in two space dimensions. We prove existence of analytic global solutions for sufficiently small and exponential decaying data. The method of proof depends on the generalized Leibniz rule for the generator of pseudo-confo...

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Bibliographic Details
Main Authors: Gaku Hoshino, Tohru Ozawa
Format: Article
Language:English
Published: Texas State University 2016-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/34/abstr.html