Global solutions and random dynamical systems for rough evolution equations

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2020
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Hesse, Robert
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10.3934/dcdsb.2020029
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Discrete & Continuous Dynamical Systems, Series B ; 25 (2020), 7. - pp. 2723-2748. - American Institute of Mathematical Sciences (AIMS). - ISSN 1531-3492. - eISSN 1553-524X
Abstract
We consider infinite-dimensional parabolic rough evolution equations. Using regularizing properties of analytic semigroups we prove global-in-time existence of solutions and investigate random dynamical systems for such equations.
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510 Mathematics
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Stochastic evolution equations, random dynamical systems, rough paths theory, fractional Brownian motion
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ISO 690HESSE, Robert, Alexandra NEAMTU, 2020. Global solutions and random dynamical systems for rough evolution equations. In: Discrete & Continuous Dynamical Systems, Series B. American Institute of Mathematical Sciences (AIMS). 25(7), pp. 2723-2748. ISSN 1531-3492. eISSN 1553-524X. Available under: doi: 10.3934/dcdsb.2020029
BibTex
@article{Hesse2020Globa-53777,
  year={2020},
  doi={10.3934/dcdsb.2020029},
  title={Global solutions and random dynamical systems for rough evolution equations},
  number={7},
  volume={25},
  issn={1531-3492},
  journal={Discrete & Continuous Dynamical Systems, Series B},
  pages={2723--2748},
  author={Hesse, Robert and Neamtu, Alexandra}
}
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