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http://dx.doi.org/10.7858/eamj.2021.038

LOCAL EXISTENCE OF CHERN-SIMONS GAUGED O(3) SIGMA EQUATIONS  

Zheng, Xueyan (Department of Mathematics, College of Science, Yanbian University)
Publication Information
East Asian mathematical journal / v.37, no.5, 2021 , pp. 591-598 More about this Journal
Abstract
In this paper we study the Cauchy problem for the Chern-Simons gauged O(3) sigma model. We prove the local existence of solutions with low regularity initial data, observing null forms of the system and applying bilinear estimates for wave-Sobolev space Hs, b.
Keywords
Chern-Simons O(3) sigma model; Lorenz gauge; Null form; Low regularity; wave-Sobolev space;
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