Global solutions for semilinear rough partial differential equations

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2022
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Hesse, Robert
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10.1142/S0219493722400111
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Stochastics and Dynamics ; 22 (2022), 2. - 2240011. - World Scientific Publishing. - ISSN 0219-4937
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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510 Mathematics
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Semilinear rough partial differential equationsinterpolation spacesrandom dynamical systems
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ISO 690HESSE, Robert, Alexandra NEAMTU, 2022. Global solutions for semilinear rough partial differential equations. In: Stochastics and Dynamics. World Scientific Publishing. 22(2), 2240011. ISSN 0219-4937. Available under: doi: 10.1142/S0219493722400111
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@article{Hesse2022Globa-57796,
  year={2022},
  doi={10.1142/S0219493722400111},
  title={Global solutions for semilinear rough partial differential equations},
  number={2},
  volume={22},
  issn={0219-4937},
  journal={Stochastics and Dynamics},
  author={Hesse, Robert and Neamtu, Alexandra},
  note={Article Number: 2240011}
}
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