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Global solutions for semilinear rough partial differential equations (2107.13342v1)
Published 28 Jul 2021 in math.PR, math.AP, and math.DS
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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