A para-differential renormalization technique for nonlinear dispersive equations

Sebastian Herr, Alexandru D. Ionescu, Carlos E. Kenig +1

For α\in (1,2) we prove that the initial-value problem \partial_t u+D^α\partial_x u+\partial_x(u^2/2)=0 on \mathbb{R}_x\times\mathbb{R}_t; u(0)=ϕ, is globally well-posed in the spa…