Open Access Research

General decay for Kirchhoff plates with a boundary condition of memory type

Jum-Ran Kang

Author affiliations

Department of Mathematics, Dong-A University, Saha-Ku, Busan, 604-714, Korea

Citation and License

Boundary Value Problems 2012, 2012:129  doi:10.1186/1687-2770-2012-129

Published: 7 November 2012

Abstract

In this paper we consider Kirchhoff plates with a memory condition at the boundary. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.

MSC: 35B40, 74K20, 35L70.

Keywords:
Kirchhoff plates; general decay rate; memory term; relaxation function