Organizer of this minisymposium is
This minisymposium will be devoted to the analysis of nonlinear dispersive equations like wave- or Schrödinger equations via Harmonic Analysis techniques.
Well-posedness is the most fundamental question to validate physical models, which in turn opens the door to numerical simulations and real-world applications. A precise understanding of multilinear wave interactions is paramount for well-posedness and stability analysis. In this minisymposium we aim to capture some state-of-the-art Harmonic Analysis techniques to prove low-regularity well-posedness results.
For instance, sharp bilinear restriction estimates due to Wolff and Tao transformed Fourier restriction theory, when initially, Klainerman–Machedon were led to their conjecture upon researching nonlinear wave equations. More recently, a flurry of developments set in with sharp $l^2$ -decoupling estimates due to Bourgain–Demeter, from which sharp Strichartz estimates on tori followed.
This minisymposium will host as well established experts as aspiring junior researchers to foster exchange on Harmonic Analysis and its interactions with nonlinear dispersive equations.