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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.9
- 수록면
- 591 - 598 (8page)
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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 $H^{s,\,b}$.
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참고문헌 (16)
참고문헌 신청
K. Choe / 2013 / Uniqueness and solution structure of nonlin-ear equations arising from the Chern-Simons gauged O(3)sigma models / J. Differential Equations 255(8):2136~2166
P. D'Ancona / 2010 / Product estimates for wave-Sobolev spaces in 2 + 1 and 1 + 1 dimensions / Contemp. Math 526:125~150
P. K. Ghosh / 1996 / Topological and Nontopological Solitons in a Gauged O(3)Sigma Model with Chern-Simons term / Phys. Lett. B 366(1-4):199~204
V. Grigoryan / 2014 / Almost critical well-posedness for nonlinear wave equa-tions with Qμν null forms in 2D / Math. Res. Lett 21(2):313~332
C. H. Gu / 1980 / On the Cauchy Problem for Harmonic Maps Defined on Two-Dimensional Minkowski Space / Commun. Pure Appl. Math 33(6):727~737
P. D'Ancona / 2010 / Product estimates for wave-Sobolev spaces in 2 + 1 and 1 + 1 dimensions / Contemp. Math 526:125~150
P. K. Ghosh / 1996 / Topological and Nontopological Solitons in a Gauged O(3)Sigma Model with Chern-Simons term / Phys. Lett. B 366(1-4):199~204
V. Grigoryan / 2014 / Almost critical well-posedness for nonlinear wave equa-tions with Qμν null forms in 2D / Math. Res. Lett 21(2):313~332
C. H. Gu / 1980 / On the Cauchy Problem for Harmonic Maps Defined on Two-Dimensional Minkowski Space / Commun. Pure Appl. Math 33(6):727~737
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