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July/August 2012 Local and global well posedness for the Chern-Simons-Dirac system in one dimension
Nikolaos Bournaveas, Timothy Candy, Shuji Machihara
Differential Integral Equations 25(7/8): 699-718 (July/August 2012).

Abstract

We consider the Cauchy problem for the Chern-Simons-Dirac system on ${\mathbb{R}}^{1+1}$ with initial data in $H^s$. Almost optimal local well posedness is obtained. Moreover, we show that the solution is global in time, provided that initial data for the spinor component has finite charge, or $L^2$ norm.

Citation

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Nikolaos Bournaveas. Timothy Candy. Shuji Machihara. "Local and global well posedness for the Chern-Simons-Dirac system in one dimension." Differential Integral Equations 25 (7/8) 699 - 718, July/August 2012.

Information

Published: July/August 2012
First available in Project Euclid: 20 December 2012

zbMATH: 1265.35278
MathSciNet: MR2975691

Subjects:
Primary: 35A01, 35Q41

Rights: Copyright © 2012 Khayyam Publishing, Inc.

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Vol.25 • No. 7/8 • July/August 2012
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