Introduction Program Talks & posters Participants Practical Info
Young Women in Harmonic Analysis and PDE
December 2-4, 2016
Gigliola Staffilani (Massachusetts Institute of Technology)
Randomization and nonlinear dispersive equations
I will start by recalling the notion of well-posedness for an initial value problem, I will introduce the Strichartz estimates and indicates some of the proofs one encounters in the deterministic approach. Then I will move to describing the Gaussian measure and the Gibbs measure associated to certain dispersive equations in Hamiltonian form. I will illustrate some of the work of Bourgain in this area and I will show how randomizing the initial data of a Cauchy problem improves well-posedness results. I will conclude with a recent work of myself with Magda Czubak, Dana Mendelson and Andrea Nahmod in which we treat the well-posedness of a geometric wave equation with randomized supercritical data.
News
Jessica Fintzen wins Cole Prize
Dr. Regula Krapf receives university teaching award
Prof. Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Prof. Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Grants for Mathematics students from Ukraine
Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Prof. Peter Scholze elected as Foreign Member of the Royal Society