Paracontrolled distributions and SPDEs

  • Massimiliano Gubinelli (Université Paris-Dauphine, France)
A3 01 (Sophus-Lie room)


I will explain how ideas from the theory of non-linear waves, namely the paradifferential calculus of Bony, can be used to tackle problems in the theory of SPDEs and more generally for problems involving non-linear operation on distributions. These methods are suitable to solve problems going from differential equations driven by rough paths to the parabolic Anderson model in 2 dimensions, the Kardar-Parisi-Zhang equation, the equation of stochastic quantisation in 3d. If time permits we will may out also links with the recent theory of regularity structures of M. Hairer.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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