Well-posedness and optimal decay rates for the viscoelastic Kirchhoff equation

Authors

  • Aissa Guesmia Institut Elie Cartan de Lorraine (IECL), University of Lorraine, Metz

DOI:

https://doi.org/10.5269/bspm.v35i3.31395

Keywords:

Well-posedness, Deacay rates, Kirchhoff equation

Abstract

In this paper, we investigate the well-posedness as well as optimal decay rate estimates of the energy associated with a Kirchhoff-Carrier problem in n-dimensional bounded domain under an internal finite memory. The considered class of memory kernels is very wide and allows us to derive new and optimal decay rate estimates then those ones considered previously in the literature for Kirchhoff-type models.

Author Biography

  • Aissa Guesmia, Institut Elie Cartan de Lorraine (IECL), University of Lorraine, Metz
    Department of Mathematics, Associate Professor

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Published

2016-10-25

Issue

Vol. 35 No. 3 (2017)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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