paracontrolled
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English[edit]
Etymology[edit]
para- + controlled
Adjective[edit]
paracontrolled (not comparable)
- (mathematics) Pertaining to a paracontrolled distribution.
- 2015, Massimiliano Gubinelli, Nicolas Perkowski, “KPZ reloaded”, in arXiv[1]:
- We also build a partial link between energy solutions as introduced by Goncalves and Jara and paracontrolled solutions. Interpreting the KPZ equation as the value function of an optimal control problem, we give a pathwise proof for the global existence of solutions and thus for the strict positivity of solutions to the stochastic heat equation. Moreover, we study Sasamoto-Spohn type discretizations of the stochastic Burgers equation and show that their limit solves the continuous Burgers equation possibly with an additional linear transport term.