Random attractors via pathwise mild solutions for stochastic parabolic evolution equations

Kuehn C, Neamtu A-A, Sonner S (2021)
Journal of Evolution Equations .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Kuehn, Christian; Neamtu, Alexandra-AureliaUniBi; Sonner, Stefanie
Abstract / Bemerkung
We investigate the longtime behavior of stochastic partial differential equations (SPDEs) with differential operators that depend on time and the underlying probability space. In particular, we consider stochastic parabolic evolution problems in Banach spaces with additive noise and prove the existence of random exponential attractors. These are compact random sets of finite fractal dimension that contain the global random attractor and are attracting at an exponential rate. In order to apply the framework of random dynamical systems, we use the concept of pathwise mild solutions.
Stichworte
Stochastic parabolic evolution equations; Pathwise mild solution; Random; attractors; Fractal dimension
Erscheinungsjahr
2021
Zeitschriftentitel
Journal of Evolution Equations
ISSN
1424-3199
eISSN
1424-3202
Page URI
https://pub.uni-bielefeld.de/record/2954680

Zitieren

Kuehn C, Neamtu A-A, Sonner S. Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. Journal of Evolution Equations . 2021.
Kuehn, C., Neamtu, A. - A., & Sonner, S. (2021). Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. Journal of Evolution Equations . https://doi.org/10.1007/s00028-021-00699-x
Kuehn, C., Neamtu, A. - A., and Sonner, S. (2021). Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. Journal of Evolution Equations .
Kuehn, C., Neamtu, A.-A., & Sonner, S., 2021. Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. Journal of Evolution Equations .
C. Kuehn, A.-A. Neamtu, and S. Sonner, “Random attractors via pathwise mild solutions for stochastic parabolic evolution equations”, Journal of Evolution Equations , 2021.
Kuehn, C., Neamtu, A.-A., Sonner, S.: Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. Journal of Evolution Equations . (2021).
Kuehn, Christian, Neamtu, Alexandra-Aurelia, and Sonner, Stefanie. “Random attractors via pathwise mild solutions for stochastic parabolic evolution equations”. Journal of Evolution Equations (2021).

Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®

Suchen in

Google Scholar