Dispersive Estimates in R^3 with Threshold Resonances

Abstract

We prove dispersive estimates in R^3 for the Schroedinger evolution generated by the Hamiltonian H = -Δ+V, under optimal decay conditions on V, in the presence of zero energy eigenfunctions and resonances.

45 pages. Substantially changed from previous version. Now includes the case of zero energy eigenfunctions. The title of the published version has been changed to "Dispersive Estimates in R^3 with Threshold Eigenstates and Resonances"

References in corpus (8)

• Dispersive estimates for Schrodinger operators in dimensions one and three
• Dispersive Estimates for higher dimensional Schrödinger Operators with threshold eigenvalues I: The odd dimensional case
• Strichartz Estimates and Maximal Operators for the Wave Equation in R^3
• Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy
• Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy
• A weighted dispersive estimate for Schrödinger operators in dimension two
• Dispersive Bounds for the three-dimensional Schrodinger equation with almost critical potentials
• Dispersive estimates for matrix Schrödinger operators in dimension two

Cited by in corpus (3)

• A weighted estimate for two dimensional Schrodinger, matrix schrodinger and wave equations with resonance of first kind at zero energy
• Dispersive estimates for massive Dirac operators in dimension two
• Strichartz estimates for the Klein--Gordon equation in ${\mathbb{R}}^{3+1}$