2022/03/01 by Robert Hesse, Alexandra Neamţu · 2 citations
Engineering · Mathematics · #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations
paper · doi:10.1142/s0219493722400111
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.