Heat-flow monotonicity of Strichartz norms

Jonathan Bennett, Neal Bez, Anthony Carbery +1

Most notably we prove that for $d=1,2$ the classical Strichartz norm $$\Vert e^{is\Delta }f{\Vert }_{L_{s,x}^{2+4/d}(\mathbb{R}\times {\mathbb{R}}^d)}$$ associated to the free Schrödinger equation i…