Abstract : There has been a strong interaction between classical analysis (theory of function spaces, harmonic analysis, geometric analysis, asymptotic analysis, real analysis, functional analysis, etc ) and nonlinear partial differential equations.
This minisymposium provides a forum to discuss the latest methods for the analysis of nonlinear partial differential equations arising in Mathematical Physics and to exchange ideas for further developments.
Organizer(s) : Vladimir Georgiev (University of Pisa, Waseda University), Tohru Ozawa (Waseda University)
Maria Esteban (CNRS and Université Paris-Danphine)
Kazumasa Fujiwara (Nagoya University)
Luis Vega (Universidad del Paris Vasco and BCAM)
Talks in Minisymposium :
[03982] Carleson's problem for infinitely many fermions
Author(s) :
Neal Bez (Saitama University)
Abstract : Carleson's problem for the free Schrodinger equation is concerned with the minimal level of regularity that guarantees the solution converges to the initial data in an almost everywhere sense as time goes to zero. Here we consider a version of this problem for infinitely many particles.
[05451] Lifespan estimate for classical damped wave equations with some initial data
Author(s) :
Kazumasa FUJIWARA (Ryukoku university )
Vladimir Georgiev (Pisa University)
Abstract : The lifespan estimate for the Cauchy problem of the semilinear classical damped wave equation is estimated when the Fourier 0th mode of the initial data is 0. In earlier works, the lifespan was estimated based on the magnitude of the Fourier 0th mode of the initial data. We will explore the lifespan estimate by considering the magnitude of the Fourier 1st and 2nd modes of the initial data instead of the 0th mode.
