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General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms

J. Math. Phys. 50, 113506 (2009); doi:10.1063/1.3254323

Published 6 November 2009

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Wenjun Liu
College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China and Department of Mathematics, Southeast University, Nanjing 210096, China
A viscoelastic wave equation in canonical form with weakly nonlinear time-dependent dissipation and source terms is investigated in this paper. For a wider class of relaxation functions and without imposing any restrictive growth assumption on the damping term at the origin, we establish an explicit and general energy decay rate result. ©2009 American Institute of Physics
History: Received 10 July 2009; accepted 3 October 2009; published 6 November 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/113506/1
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KEYWORDS and PACS

Keywords
PACS
  • 02.30.-f
    Function theory, analysis
  • YEAR: 2009

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
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REFERENCES (30)
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