General decay for a wave equation of Kirchhoff type with a boundary control of memory typeReport as inadecuate




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Boundary Value Problems

, 2011:55

First Online: 23 December 2011Received: 30 July 2011Accepted: 23 December 2011

Abstract

A nonlinear wave equation of Kirchhoff type with memory condition at the boundary in a bounded domain is considered. We establish a general decay result which includes the usual exponential and polynomial decay rates. Furthermore, our results allow certain relaxation functions which are not necessarily of exponential and polynomial decay. This improves earlier results in the literature.

MSC: 35L05; 35L70; 35L75; 74D10.

Keywordsgeneral decay wave equation relaxation memory type Kirchhoff type nondissipative  Download fulltext PDF



Author: Shun-Tang Wu

Source: https://link.springer.com/







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