Differential and Integral Equations
- Differential Integral Equations
- Volume 9, Number 6 (1996), 1183-1195.
Global existence of small solutions to the Ishimori system without exponential decay on the data
We study the initial value problem for the Ishimori system. Elliptic-hyperbolic and hyperbolic-elliptic cases were treated by inverse scattering techniques [6, 7], . Elliptic-elliptic and hyperbolic-elliptic cases were studied in  without using inverse scattering techniques. In the previous paper  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.
Differential Integral Equations, Volume 9, Number 6 (1996), 1183-1195.
First available in Project Euclid: 6 May 2013
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Hayashi, Nakao; Saut, Jean-Claude. Global existence of small solutions to the Ishimori system without exponential decay on the data. Differential Integral Equations 9 (1996), no. 6, 1183--1195. https://projecteuclid.org/euclid.die/1367846895