Monday July 13

16h

Anna Kazeykina (Universidad Paris-Sud, France)

On the behaviour of solutions for the Novikov-Veselov equation

The Novikov-Veselov equation is a 2-dimensional generalization of the renowned Korteweg-de Vries equation integrable via the Inverse Scattering Transform (IST) for the 2-dimensional stationary Schrodinger equation. In this talk we will present recent results on the behaviour of solutions to the Novikov-Veselov equations: local well-posedness results, existence and absence of solitons, large-time behaviour, blow-ups etc. A part of results is obtained via IST techniques; for other results we make use of techniques of the theory of dispersive PDEs.