Global well-posedness of the dynamic $\Phi^4$ model in the plane
Probability
2015-01-27 v1 Mathematical Physics
math.MP
Abstract
We show global well-posedness of the dynamic model in the plane. The model is a non-linear stochastic PDE that can only be interpreted in a "renormalised" sense. Solutions take values in suitable weighted Besov spaces of negative regularity.
Keywords
Cite
@article{arxiv.1501.06191,
title = {Global well-posedness of the dynamic $\Phi^4$ model in the plane},
author = {Jean-Christophe Mourrat and Hendrik Weber},
journal= {arXiv preprint arXiv:1501.06191},
year = {2015}
}
Comments
60 pages