Global Nonexistence for a Viscoelastic Wave Equation with Boundary Dissipative
DOI:
https://doi.org/10.15381/pes.v19i2.12674Keywords:
Viscoelastic wave equation, local solution, Faedo-Galerkin method, blow-up of solutions, energy method.Abstract
We consider a mixed problem for a viscoelastic nonilinear wave equation with boundary dissipative lineal and nonlinear source term. We prove the existence and uniqueness of its local solution by the Faedo-Galerkin method and show the blow-up of solutions by the energy method.
Downloads
Published
Issue
Section
License
Copyright (c) 2016 Teófanes Quispe Méndez
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).
