Global solutions for semilinear rough partial differential equations
Probability
2021-07-29 v1 Analysis of PDEs
Dynamical Systems
Abstract
We construct global-in-time solutions for semilinear parabolic rough partial differential equations. We work on a scale of Banach spaces tailored to the controlled rough path approach and derive suitable a-priori estimates of the solution which do not contain quadratic terms.
Keywords
Cite
@article{arxiv.2107.13342,
title = {Global solutions for semilinear rough partial differential equations},
author = {Robert Hesse and Alexandra Neamtu},
journal= {arXiv preprint arXiv:2107.13342},
year = {2021}
}
Comments
Preprint 15 pages