Spherically Averaged Endpoint Strichartz Estimates For The Two­Dimensional Schrödinger Equation

Abstract

Abstract The endpoint Strichartz estimates for the Schrödinger equation is known to be false in two dimensions[7]. However, if one averages the solution in L2 in the angular variable, we show that the homogeneous endpoint and the retarded half­endoint estimates hold, but the full retarded endpoint fails. In particular, the original verisions of these estimates hold for radial data

Locations

• Communications in Partial Differential Equations - View
• arXiv (Cornell University) - View - PDF
• arXiv (Cornell University) - PDF
• Communications in Partial Differential Equations - View
• arXiv (Cornell University) - View - PDF
• arXiv (Cornell University) - PDF