# Mathematical Sciences Research Institute

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# Seminar

Research Seminar: On conservation laws for KdV December 09, 2015 (11:30 AM PST - 12:30 PM PST)
Parent Program: New Challenges in PDE: Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems MSRI: Simons Auditorium
Speaker(s) Rowan Killip (University of California, Los Angeles)
Description No Description
Video
I will describe a one-parameter family of exact conservation laws for the Korteweg--de Vries equation.  These permit us to obtain global uniform bounds on solutions for a wide range of Besov norms.  In particular, we cover the cases $H^s$ for $-1\leq s < 3/4$.  This is joint work with M Visan and X Zhang and treats the circle and line cases in an identical manner.