## Communications in Mathematical Analysis

### On long-time decay for modified Klein-Gordon equation

E. Kopylova

#### Abstract

We obtain a dispersive long-time decay in weighted energy norms for solutions of the Klein-Gordon equation in a moving frame. The decay extends the results of Jensen, Kato and Murata for the equations of the Schrödinger type. We modify the approach to make it applicable to relativistic equations.

#### Article information

Source
Commun. Math. Anal., Conference 3 (2011), 137-152.

Dates
First available in Project Euclid: 25 February 2011

https://projecteuclid.org/euclid.cma/1298670009

Mathematical Reviews number (MathSciNet)
MR2772058

Zentralblatt MATH identifier
1213.35106

Subjects
Primary: 35L10: Second-order hyperbolic equations 34L25: Scattering theory, inverse scattering
Secondary: 47A40 81U05

#### Citation

Kopylova, E. On long-time decay for modified Klein-Gordon equation. Commun. Math. Anal. (2011), no. 3, 137--152. https://projecteuclid.org/euclid.cma/1298670009

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