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2007 Low regularity global well-posedness for the Klein-Gordon-Schrödinger system with the higher-order Yukawa coupling
Changxing Miao, Guixiang Xu
Differential Integral Equations 20(6): 643-656 (2007).

Abstract

In this paper, we consider the Klein-Gordon-Schrödinger system with the higher-order Yukawa coupling in $ \mathbb{R}^{1+1} $, and prove the local and global well-posedness in $L^2\times H^{1/2}$. The method to be used is adapted from the scheme originally by J. Colliander, J. Holmer, and N. Tzirakis [8] to use the available $L^2$ conservation law of $u$ and control the growth of $n$ via the estimates in the local theory.

Citation

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Changxing Miao. Guixiang Xu. "Low regularity global well-posedness for the Klein-Gordon-Schrödinger system with the higher-order Yukawa coupling." Differential Integral Equations 20 (6) 643 - 656, 2007.

Information

Published: 2007
First available in Project Euclid: 20 December 2012

zbMATH: 1212.35454
MathSciNet: MR2319459

Subjects:
Primary: 35Q55
Secondary: 35B30, 35B65, 35L70, 42B35

Rights: Copyright © 2007 Khayyam Publishing, Inc.

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Vol.20 • No. 6 • 2007
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