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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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
23
Ausgabe
4
Art.-Nr.
76
ISSN
1424-3199
eISSN
1424-3202
Page URI
https://pub.uni-bielefeld.de/record/2966013

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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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arXiv: 2209.13448

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