Abstract: I will present the new method developed in joint work with Killip for proving optimal well-posedness for integrable PDE. I will first discuss this method in the context of the Korteweg-de Vries equation. I will then discuss subsequent developments (joint with Harrop-Griffiths and Killip) that have led to optimal well-posedness results for the integrable nonlinear Schrödinger and the modified Korteweg-de Vries equations.
Please access the talk through the Research Seminars page ( https://researchseminars.org/seminar/MO_Analysis ); you will need to register for a free account. If you have any difficulty, please contact Samuel Walsh (firstname.lastname@example.org).