Decay estimates of solutions for nonlinear viscoelastic systems

Dharmawardane, Priyanjana M. N.; Nakamura, Tohru; Kawashima, Shuichi

doi:10.2969/aspm/06410377

VOL. 64 | 2015 Decay estimates of solutions for nonlinear viscoelastic systems

Priyanjana M. N. Dharmawardane, Tohru Nakamura, Shuichi Kawashima

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Adv. Stud. Pure Math., 2015: 377-385 (2015) DOI: 10.2969/aspm/06410377

Abstract

In this paper, we consider a class of second order hyperbolic systems of viscoelasticity in the whole space and show the global existence and sharp decay estimates of solutions under the smallness condition on the initial data. The tools that we use here are the time-weighted energy method and the semigroup argument.