A sharp $k$-plane Strichartz inequality for the Schrödinger equation

Jonathan Bennett, Neal Bez, Taryn C. Flock +2

We prove that $$\Vert X(|u{|}^2){\Vert }_{L_{t,\ell }^3}\le C\Vert f{\Vert }_{L^2({\mathbb{R}}^2)}^2,$$ where $u(x,t)$ is the solution to the linear time-dependent Schrödinger equation on ${\mathbb{R}}^2$…