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arXiv · 2107.13342

Global solutions for semilinear rough partial differential equations

Robert Hesse·Alexandra Neamtu
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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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Robert Hesse, Alexandra Neamtu. 2021-07-28. Global solutions for semilinear rough partial differential equations. https://arxiv.org/abs/2107.13342

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