[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2016.045

GENERAL DECAY OF SOLUTIONS OF NONLINEAR VISCOELASTIC WAVE EQUATION

Shin, Kiyeon (Department of Mathematics, Pusan National University)
Kang, Sujin (Department of Nanomaterials Engineering, Pusan National University)

Publication Information

East Asian mathematical journal / v.32, no.5, 2016 , pp. 651-658 More about this Journal

Abstract

In a bounded domain, we consider $u_{tt}-{\Delta}u+{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_0}^t}\;g(t-{\tau}){\Delta}ud{\tau}+u_t={\mid}u{\mid}^pu$ , where p > 0 and g is a nonnegative and decaying function. We establish a general decay result which is not necessarily of exponential or polynomial type.

Keywords

General decay; Relaxation; Viscoelastic;

Citations & Related Records

Reference

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