A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation

Wichmann, Jörn; Bechtold, Florian

A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation

Wichmann J, Bechtold F (2023)
Journal of Evolution Equations 23(4): 76.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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DOI

https://doi.org/10.1007/s00028-023-00926-7

URN

urn:nbn:de:0070-pub-29660132

Autor*in

Wichmann, Jörn^UniBi ; Bechtold, Florian^UniBi

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

We study an evolutionary p-Laplace problem whose potential is subject to a translation in time. Provided the trajectory along which the potential is translated admits a sufficiently regular local time, we establish existence of solutions to the problem for singular potentials for which a priori bounds in classical approaches break down, thereby establishing a pathwise regularization by noise phenomena for this nonlinear problem.

Erscheinungsjahr

2023

Zeitschriftentitel

Journal of Evolution Equations

Band

Ausgabe

Art.-Nr.

Urheberrecht / Lizenzen

Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0)

ISSN

1424-3199

eISSN

1424-3202

Finanzierungs-Informationen

Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.

Page URI

https://pub.uni-bielefeld.de/record/2966013

Zitieren

Wichmann J, Bechtold F. A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation. Journal of Evolution Equations. 2023;23(4): 76.

Wichmann, J., & Bechtold, F. (2023). A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation. Journal of Evolution Equations, 23(4), 76. https://doi.org/10.1007/s00028-023-00926-7

Wichmann, Jörn, and Bechtold, Florian. 2023. “A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation”. Journal of Evolution Equations 23 (4): 76.

Wichmann, J., and Bechtold, F. (2023). A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation. Journal of Evolution Equations 23:76.

Wichmann, J., & Bechtold, F., 2023. A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation. Journal of Evolution Equations, 23(4): 76.

J. Wichmann and F. Bechtold, “A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation”, Journal of Evolution Equations, vol. 23, 2023, : 76.

Wichmann, J., Bechtold, F.: A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation. Journal of Evolution Equations. 23, : 76 (2023).

Wichmann, Jörn, and Bechtold, Florian. “A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation”. Journal of Evolution Equations 23.4 (2023): 76.

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