Renormalization group and stochastic PDEs. (English) Zbl 1347.81063
By using Wilsonian’s renormalization group (RG) approach, the existence, uniqueness and independence of regularization are investigated for stochastic partial differential equations on \(\mathbb T^3\) of type
\[
\partial_t\varphi = \mathbb D\varphi -\varphi^3 -r \varphi +\Xi,
\]
where \(\Xi\) is a (non-local) space-time white noise. Moreover, the covariances of the noise contributions are estimated.
Reviewer: Feng-Yu Wang (Swansea)
MSC:
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
| 35R60 | PDEs with randomness, stochastic partial differential equations |
| 60H15 | Stochastic partial differential equations (aspects of stochastic analysis) |
| 60H20 | Stochastic integral equations |
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