On long-time decay for modified Klein-Gordon equation
Elena Kopylova
TL;DR
This paper establishes long-time decay rates for solutions of the modified Klein-Gordon equation in a moving frame, extending previous dispersive decay results to relativistic equations.
Contribution
It adapts existing decay analysis techniques to the relativistic Klein-Gordon equation, providing new long-time decay estimates in weighted energy norms.
Findings
Dispersive decay in weighted energy norms for Klein-Gordon solutions
Extension of decay results from Schrödinger to Klein-Gordon equations
Method modification for relativistic equations
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 Schr\"odinger type. We modify the approach to make it applicable to relativistic equations.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Photonic Systems · Electromagnetic Simulation and Numerical Methods