Lp - Lq decay estimates for Klein-Gordon models with effective mass
by Michael Reissig; Christiane Reuther
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 4, No. 4, 2012

Abstract: The goal of this paper is to derive Lp - Lq decay estimates for Klein-Gordon models with an effective mass. We explain first the WKB analysis which leads to a representation of the solution by Fourier multipliers. Then we use stationary phase method to get Lp - Lq decay estimates on the conjugate line. The effective mass allows to derive a Klein-Gordon type decay rate. Some comments to Lp - Lq decay rates for scale-invariant models and for Klein-Gordon models possessing scattering states to wave models complete the paper.

Online publication date: Wed, 10-Dec-2014

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