Endpoint maximal and smoothing estimates for Schrödinger equations
Endpoint maximal and smoothing estimates for Schrödinger equations
For α > 1 we consider the initial value problem for the dispersive equation i∂tu + (–Δ)α/2u = 0. We prove an endpoint Lp inequality for the maximal function with initial values in Lp-Sobolev spaces, for p ∈ (2 + 4/(d + 1), ∞). This strengthens the fixed time estimates …