Well-posedness and Ill-posedness for the Nonlinear Beam Equation

Shuxin Wang

We investigate Strichartz estimates for the nonlinear beam equation with initial data $f\in {\dot{H}}^s,g\in {\dot{H}}^{s-2}$ and $f\in H^s,g\in H^{s-2}$. We extend results of H. Lindb…