Cutoff Resolvent Estimates and the Semilinear Schrödinger Equation

Simple item page
dc.creatorChristianson, Hans
dc.date2007-06-28
dc.date2007-11-19
dc.date.accessioned2026-07-07T08:43:16Z
dc.date.available2026-07-07T08:43:16Z
dc.descriptionThis paper shows how abstract resolvent estimates imply local smoothing for solutions to the Schrödinger equation. If the resolvent estimate has a loss when compared to the optimal, non-trapping estimate, there is a corresponding loss in regularity in the local smoothing estimate. As an application, we apply well-known techniques to obtain well-posedness results for the semi-linear Schrödinger equation.
dc.description8 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0706.4315
dc.identifierhttp://arxiv.org/abs/0706.4315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142255
dc.subjectAnalysis of PDEs
dc.subject35G25
dc.titleCutoff Resolvent Estimates and the Semilinear Schrödinger Equation
dc.typetext

Files

Collections

arXiv