Analytic smoothing effect for the cubic hyperbolic Schrödinger equation in two space dimensions
Date
2016-01-25
Authors
Hoshino, Gaku
Ozawa, Tohru
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We study the Cauchy problem for the cubic hyperbolic Schrödinger 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-conformal transform acting on pseudo-conformally invariant nonlinearity.
Description
Keywords
Nonlinear Schrödinger equation, Non elliptic Schrödinger equation, Analytic smoothing effect, Global solution
Citation
Hoshino, G., & Ozawa, T. (2016). Analytic smoothing effect for the cubic hyperbolic Schrödinger equation in two space dimensions. Electronic Journal of Differential Equations, 2016(34), pp. 1-8.
Rights
Attribution 4.0 International