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Arbitrary rate of decay for a viscoelastic equation with acoustic boundary conditions.

Authors :
Liu, Wenjun
Source :
Applied Mathematics Letters. Dec2014, Vol. 38, p155-161. 7p.
Publication Year :
2014

Abstract

In this paper we consider the viscoelastic equation with a homogeneous Dirichlet condition on a portion of the boundary and acoustic boundary conditions on the rest of the boundary. By using the assumptions on the relaxation function due to Tatar (2011), we generalize the work of Park and Park (2011) to an arbitrary rate of decay with not necessarily of an exponential or polynomial one and without the assumption condition ∫ 0 ∞ g ( s ) d s < 1 2 . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08939659
Volume :
38
Database :
Academic Search Index
Journal :
Applied Mathematics Letters
Publication Type :
Academic Journal
Accession number :
98143509
Full Text :
https://doi.org/10.1016/j.aml.2014.07.022