Weighted fractional chain rule and nonlinear wave equations with minimal regularity

Kunio Hidano, Jin-Cheng Jiang, Sanghyuk Lee +1

We consider the local well-posedness for 3-D quadratic semi-linear wave equations with radial data: $\square u=a|{\partial }_{t}u{|}^2+b|{\nabla }_{x}u{|}^2$, $u(0,x)=u_0(x)\in H^{s}_{\mathrm{…