Weighted energy decay for magnetic Klein-Gordon equation

Abstract

We obtain a dispersive long-time decay in weighted energy norms for solutions of 3D Klein-Gordon equation with magnetic and scalar potentials. The decay extends the results obtained by Jensen and Kato for the Schroedinger equation with scalar potential. For the proof we develop the spectral theory of Agmon, Jensen and Kato and minimal escape velocities estimates of Hunziker, Sigal and Soffer.

15 pages, 0 figures

References in corpus (2)

• Resonances, Radiation Damping and Instability in Hamiltonian Nonlinear Wave Equations
• Stable directions for small nonlinear Dirac standing waves