General boundary stabilization result of memory-type thermoelasticity with second sound

Abstract

In this article we consider an n-dimensional system of visco-thermoelasticity with second sound, where a viscoelastic dissipation is acting on a part of the boundary. We prove an explicit general decay rate result without imposing $u_0=0$ as in [17]. This allows a larger class of relaxation functions and initial data, hence, generalizes some previous results existing in the literature.

Keywords

• Thermoelasticity with second sound
• viscoelastic damping
• decay
• relaxation function
• boundary stabilization
• convexity