Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions
The goal of this work is to study a model of the wave equation with dynamic boundary conditions and a viscoelastic term. First, applying the Faedo–Galerkin method combined with the fixed point theorem, we show the existence and uniqueness of a local in time solution. Second, we show that under some...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2013-05-01
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Series: | Advances in Nonlinear Analysis |
Subjects: | |
Online Access: | https://doi.org/10.1515/anona-2012-0027 |