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Probability and PDEs

Dispersive PDEs with irregular modulation

speaker: Massimiliano Gubinelli (Université Paris Dauphine )

abstract: I will discuss some recent results about nonlinear PDEs with a dispersion term modulated by a time–inhomogeneous irregular signal. In particular we will concentrate in the study of the regularizing effect of the modulated dispersion for the local or global well-posedness problem. I will consider the modulated 1d periodic or non-periodic versions of the Korteweg–de Vries (KdV) equation, of the modified KdV equation, of the non-linear Schrödinger equation (NLS) and of the derivative NLS. (joint work with K. Chouk)

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