Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces
Lunardi A, Röckner M (2021)
Journal of the London Mathematical Society .
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Lunardi, Alessandra;
Röckner, MichaelUniBi
Einrichtung
Abstract / Bemerkung
We prove maximal regularity results in Holder and Zygmund spaces for linear stationary and evolution equations driven by a class of differential and pseudo-differential operators L, both in finite and in infinite dimension. The assumptions are given in terms of the semigroup generated by L. We cover the cases of fractional Laplacians and Ornstein-Uhlenbeck operators with fractional diffusion in finite dimension, and several types of local and nonlocal Ornstein-Uhlenbeck operators, as well as the Gross Laplacian and its fractional powers, in infinite dimension.
Erscheinungsjahr
2021
Zeitschriftentitel
Journal of the London Mathematical Society
ISSN
0024-6107
eISSN
1469-7750
Page URI
https://pub.uni-bielefeld.de/record/2951302
Zitieren
Lunardi A, Röckner M. Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Journal of the London Mathematical Society . 2021.
Lunardi, A., & Röckner, M. (2021). Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Journal of the London Mathematical Society . https://doi.org/10.1112/jlms.12436
Lunardi, Alessandra, and Röckner, Michael. 2021. “Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces”. Journal of the London Mathematical Society .
Lunardi, A., and Röckner, M. (2021). Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Journal of the London Mathematical Society .
Lunardi, A., & Röckner, M., 2021. Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Journal of the London Mathematical Society .
A. Lunardi and M. Röckner, “Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces”, Journal of the London Mathematical Society , 2021.
Lunardi, A., Röckner, M.: Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Journal of the London Mathematical Society . (2021).
Lunardi, Alessandra, and Röckner, Michael. “Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces”. Journal of the London Mathematical Society (2021).
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