Global solutions for semilinear rough partial differential equations

2021/07/28 by Hesse, Robert, Neamtu, Alexandra · 1 citation
#37L55 #60G22 #60H05 #60H15 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2107.13342

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.

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