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1996 Global existence of small solutions to the Ishimori system without exponential decay on the data
Nakao Hayashi, Jean-Claude Saut
Differential Integral Equations 9(6): 1183-1195 (1996).

Abstract

We study the initial value problem for the Ishimori system. Elliptic-hyperbolic and hyperbolic-elliptic cases were treated by inverse scattering techniques [6, 7], [9]. Elliptic-elliptic and hyperbolic-elliptic cases were studied in [8] without using inverse scattering techniques. In the previous paper [4] we proved the global existence of small solutions to the Ishimori and the Davey-Stewartson systems in the elliptic-hyperbolic and hyperbolic-hyperbolic cases under exponential decay on the data. Our purpose in this paper is to remove that condition in the case of the Ishimori system.

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Nakao Hayashi. Jean-Claude Saut. "Global existence of small solutions to the Ishimori system without exponential decay on the data." Differential Integral Equations 9 (6) 1183 - 1195, 1996.

Information

Published: 1996
First available in Project Euclid: 6 May 2013

zbMATH: 0879.34053
MathSciNet: MR1409922

Subjects:
Primary: 35Q55
Secondary: 35D05 , 35E99 , 81T99

Rights: Copyright © 1996 Khayyam Publishing, Inc.

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Vol.9 • No. 6 • 1996
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