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Local Existence of Chern-Simons Gauged $O(3)$ Sigma Equations

Xueyan Zheng
영남수학회 (Youngnam Mathematical Society)|2021.09|East Asian Mathematical Journal|제37권 제5호|pp. 591-598

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참고문헌

키워드

Chern-Simons $O(3)$ sigma modelLorenz gaugeNull formLow regularitywave-Sobolev space.
주제분류수학

초록

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 $H^{s,\,b}$.

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 $H^{s,\,b}$.

참고문헌 (16)

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