Seminario di equazioni differenziali e applicazioni: “Bilinear restriction estimates and the division problem”

Giovedì 6 Dicembre 2018, ore 12:30 - Aula 1AD100 - Timothy Candy


Giovedì 6 Dicembre 2018 alle ore 12:30 in Aula 1AD100, Timothy Candy (Università di Bielefeld)terrà un seminario dal titolo “Bilinear restriction estimates and the division problem”.

Bilinear restriction (or extension) estimates for free waves give an efficient way to exploit both transversality and curvature, and have a number of applications in harmonic analysis and PDE. We give an overview of these estimates, as well as some recent extensions of the bilinear theory from free waves to the adapted function spaces $U^p$. These extensions give a way to connect the bilinear restriction theory with the global well-posedness problem for dispersive PDE. In particular, they can be used to give another solution to the division problem for the wave maps equation.

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