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

Autores

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

DOI:

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

Palavras-chave:

Well-posedness, Deacay rates, Kirchhoff equation

Resumo

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.

Biografia do Autor

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

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Publicado

2016-10-25

Edição

v. 35 n. 3 (2017)

Seção

Artigos

Licença

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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