Continuous dependence of solutions to the strongly damped nonlinear Klein-Gordon equation

Authors: ŞEVKET GÜR, MESUDE ELİF UYSAL

Abstract: This article is devoted to the study of the initial-boundary value problem for the strongly damped nonlinear Klein-Gordon equation. It is proved that the solution depends continuously on changes in the damping terms, diffusion, mass, and nonlinearity effect term in the $H^1$ norm.

Keywords: Structural stability, nonlinear Klein-Gordon equation, continuous dependence

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