The Cauchy problem of the Ward equation

被引：3
|
作者：
Wu, Derchyi [1 ]
机构：
[1] Acad Sinica, Inst Math, Taipei, Taiwan
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 256卷 / 01期
关键词：
Self-dual Yang-Mills equation; Lax pair; Inverse scattering problem; Riemann-Hilbert problem; Cauchy integral operator; INTEGRABLE CHIRAL MODEL; INVERSE SCATTERING; 2+1 DIMENSIONS; NONTRIVIAL SCATTERING; SOLITON-SOLUTIONS; SYSTEMS; LINE;
D O I：
10.1016/j.jfa.2008.06.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We generalize the results of [J. Villarroel, The inverse problem for Ward's system, Stud. Appl. Math. 83 (1990) 211-222 A.S. Fokas, T.A. Ioannidou, The inverse spectral theory for the Ward equation and for the 2 + 1 chiral model. Comm. Appl. Anal. 5 (2001) 235-246 B. Dai. C.L. Terng. K. Uhlenbeck, On the space-time Monopole equation, arXiv:rnath.DG/0602607] to study the inverse scattering problem of the Ward equation with non-small data and solve the Cauchy problem of the Ward equation with a non-small purely continuous scattering data. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：215 / 257
页数：43
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