Regularization by noise for some nonlinear dispersive PDEs
Tristan Robert1
1 Université de Lorraine, CNRS, IECL, F-54000 Nancy, France
Journées équations aux dérivées partielles (2023), Talk no. 9, 12 p.

In the context of ODEs or transport PDEs, there are examples where adding a rough stochastic perturbation to the equation at hand actually improves the well-posedness theory. In these notes, we review some results showing how a distributional modulation of the dispersion can also produce a regularization by noise effect for a rather large class of nonlinear dispersive PDEs.

Published online:
DOI: 10.5802/jedp.680
Classification: 60H50, 35A01
Keywords: Nonlinear dispersive PDEs, Nonlinear Young integral

Tristan Robert 1

1 Université de Lorraine, CNRS, IECL, F-54000 Nancy, France 
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Tristan Robert. Regularization by noise for some nonlinear dispersive PDEs. Journées équations aux dérivées partielles (2023), Talk no. 9, 12 p.. doi: 10.5802/jedp.680

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