VISCOELASTIC EQUATION WITH LOCALLY DISTRIBUTED DAMPING
DOI:
https://doi.org/10.15381/pes.v15i1.9598Keywords:
Viscoelastic equation, semigroup, infinitesimal generator.Abstract
In this present work we study the one-dimensional viscoelastic equation defined on the interval [0, L]. We divided the study into two parts:
In the first we analyze the existence and uniqueness of solutions using the theory of the linear semigroups, applying in the Abstract Cauchy problem and in the second part we see the exponential stability of the C0-semigroup of contractions associated with linear viscoelastic system.
Downloads
Published
Issue
Section
License
Copyright (c) 2012 Alfonso Perez Salvatierra, Victoriano Yauri Luque, Andrés Guardia Cayo, Elvis Bustamante Ramos
![Creative Commons License](http://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
THE AUTHORS RETAIN THEIR RIGHTS:
a) The authors retain their trademark and patent rights, and also on any process or procedure described in the article.
b) The authors retain the right to share, copy, distribute, execute and publicly communicate the article published in Pesquimat magazine (for example, place it in an institutional repository or publish it in a book), with recognition of its initial publication in the Pesquimat magazine.
c) The authors retain the right to make a later publication of their work, to use the article or any part of it (for example: a compilation of their works, notes for conferences, thesis, or for a book), provided that they indicate the source of publication (authors of the work, magazine, volume, number and date).