• Corpus ID: 119151230

# The dynamical sine-Gordon model in the full subcritical regime

@article{Chandra2018TheDS,
title={The dynamical sine-Gordon model in the full subcritical regime},
author={A. Ramesh Chandra and Martin Hairer and Hao Shen},
journal={arXiv: Probability},
year={2018}
}
• Published 8 August 2018
• Mathematics
• arXiv: Probability
We prove that the dynamical sine-Gordon equation on the two dimensional torus introduced in [HS16] is locally well-posed for the entire subcritical regime. At first glance this equation is far out of the scope of the local existence theory available in the framework of regularity structures [Hai14, BHZ16, CH16, BCCH17] since it involves a non-polynomial nonlinearity and the solution is expected to be a distribution (without any additional small parameter as in [FG17, HX18]). In [HS16] this was…
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