On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems
Wichmann J (2023)
SIAM Journal on Mathematical Analysis 55(4): 3713-3730.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Einrichtung
Abstract / Bemerkung
In this article we investigate the temporal regularity of strong solutions to thestochasticp-Laplace system in the degenerate setting,p\in [2,\infty ), driven by a multiplicative nonlinearstochastic forcing. We establish 1/2 time differentiability in an exponential Besov--Orlicz space forthe solution processu. Furthermore, we prove 1/2 time differentiability of the nonlinear gradientV(\nabla u) in a Nikolskii space.
Erscheinungsjahr
2023
Zeitschriftentitel
SIAM Journal on Mathematical Analysis
Band
55
Ausgabe
4
Seite(n)
3713-3730
ISSN
0036-1410
eISSN
1095-7154
Page URI
https://pub.uni-bielefeld.de/record/2982170
Zitieren
Wichmann J. On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems. SIAM Journal on Mathematical Analysis. 2023;55(4):3713-3730.
Wichmann, J. (2023). On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems. SIAM Journal on Mathematical Analysis, 55(4), 3713-3730. https://doi.org/10.1137/21M1460491
Wichmann, Jörn. 2023. “On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems”. SIAM Journal on Mathematical Analysis 55 (4): 3713-3730.
Wichmann, J. (2023). On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems. SIAM Journal on Mathematical Analysis 55, 3713-3730.
Wichmann, J., 2023. On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems. SIAM Journal on Mathematical Analysis, 55(4), p 3713-3730.
J. Wichmann, “On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems”, SIAM Journal on Mathematical Analysis, vol. 55, 2023, pp. 3713-3730.
Wichmann, J.: On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems. SIAM Journal on Mathematical Analysis. 55, 3713-3730 (2023).
Wichmann, Jörn. “On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems”. SIAM Journal on Mathematical Analysis 55.4 (2023): 3713-3730.
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