Stability for an Klein–Gordon equation type with a boundary dissipation of fractional derivative type

Article type: Research Article

Authors: Muñoz Rivera, Jaime^a | Poblete, Verónica^{b; *} | Vera, Octavio^c

Affiliations: [a] Departamento de Matemáticas, Universidad del Bío-Bío, Chile and LNCC Petrópolis, Brazil. E-mail: rivera@lncc.br | [b] Departamento de Matemáticas. Universidad de Chile, Chile. E-mail: vpoblete@uchile.cl | [c] Departamento de Matemáticas, Universidad del Bío-Bío, Chile. E-mail: overa@ubiobio.cl

Correspondence: [*] Corresponding author. E-mail: vpoblete@uchile.cl.

Abstract: We consider an Klein–Gordon relativistic equation with a boundary dissipation of fractional derivative type. We study of stability of the system using semigroups theory and classical theorems over asymptotic behavior.

Keywords: Semigroup theory, Klein–Gordon equation, polynomial stability

DOI: 10.3233/ASY-211689

Journal: Asymptotic Analysis, vol. 127, no. 3, pp. 249-273, 2022