On Sharpness of the Local Kato Smoothing Property of Dispersive Wave Equations

Shu-Ming Sun, Emmanuel Trelat, Bingyu Zhang +1

Constantin and Saut showed in 1988 that solutions of the Cauchy problem for general dispersive equations $$ w_t +iP(D)w=0,\quad w(x,0)=q (x), \quad x\in \mathbb{R}^n, \ t\in \mathb…