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

Date

2016-01-25

Authors

Hoshino, Gaku
Ozawa, Tohru

Journal Title

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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. <i>Electronic Journal of Differential Equations, 2016</i>(34), pp. 1-8.

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Attribution 4.0 International

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