An order approach to SPDEs with antimonotone terms
arXiv:1910.01816 · doi:10.1007/s40072-019-00161-7
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.
10 pages