Article ID Journal Published Year Pages File Type
4591192 Journal of Functional Analysis 2010 26 Pages PDF
Abstract

We obtain a dispersive long-time decay in weighted energy norms for solutions of the 2D Klein–Gordon equations. The decay extends the results obtained by Jensen, Kato and Murata for the equations of Schrödinger's type by the spectral approach. For the proof we modify the approach to make it applicable to relativistic equations.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory