An order approach to SPDEs with antimonotone terms
Analysis of PDEs
2020-12-11 v1 Probability
Abstract
We consider a class of parabolic stochastic partial differential equations featuring an antimonotone nonlinearity. The existence of unique maximal and minimal variational solutions is proved via a fixed-point argument for nondecreasing mappings in ordered spaces. This relies on the validity of a comparison principle.
Keywords
Cite
@article{arxiv.1910.01816,
title = {An order approach to SPDEs with antimonotone terms},
author = {Luca Scarpa and Ulisse Stefanelli},
journal= {arXiv preprint arXiv:1910.01816},
year = {2020}
}
Comments
10 pages