Global solutions for semilinear rough partial differential equations

Hesse, Robert; Blessing-Neamtu, Alexandra

Global solutions for semilinear rough partial differential equations

Dateien

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Datum

2022

Autor:innen

Hesse, Robert

Blessing-Neamtu, Alexandra

DOI (zitierfähiger Link)

https://doi.org/10.1142/S0219493722400111

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Stochastics and Dynamics. World Scientific Publishing. 2022, 22(2), 2240011. ISSN 0219-4937. Available under: doi: 10.1142/S0219493722400111

Zusammenfassung

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Semilinear rough partial differential equationsinterpolation spacesrandom dynamical systems

Zitieren

ISO 690

HESSE, Robert, Alexandra BLESSING-NEAMTU, 2022. Global solutions for semilinear rough partial differential equations. In: Stochastics and Dynamics. World Scientific Publishing. 2022, 22(2), 2240011. ISSN 0219-4937. Available under: doi: 10.1142/S0219493722400111

BibTex

@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 Blessing-Neamtu, Alexandra},
  note={Article Number: 2240011}
}

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