Global well-posedness for one dimensional Chern-Simons-Dirac system in $L^p$
Shuji Machihara, Takayoshi Ogawa
TL;DR
This paper establishes the global well-posedness of the one-dimensional Chern-Simons-Dirac system in L^p spaces, extending the understanding of its mathematical properties.
Contribution
It proves time global well-posedness for the Chern-Simons-Dirac equation in 1+1 dimensions within L^p spaces, a novel result in this context.
Findings
Global well-posedness in L^p for 1+1 dimensional Chern-Simons-Dirac system
Extension of well-posedness results to broader function spaces
Mathematical framework applicable to related gauge field theories
Abstract
Time global wellposedness in L^p for the Chern-Simons-Dirac equation in 1+1 dimension is discussed.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Spectral Theory in Mathematical Physics · advanced mathematical theories