Abstract
We estimate the L∞ norm of the first derivative of the solution to the Chern–Simons gauged O(3) sigma model in R1+1 by using local energy conservation and observing the transport equation along the characteristic line. As an application of the bound, we improve the growth rate of the H2 norm of the solution from an exponential to a polynomial one. We also apply a similar idea to the Chern–Simons–Higgs model.
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