General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping

Abstract This article is concerned with the decay and blow-up properties of a nonlinear viscoelastic wave equation with strong damping. We first show a local existence theorem. Then, we prove the global existence of solutions and establish a general decay rate estimate. Finally, we show the finite t...

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Bibliographic Details
Main Authors: Qian Li, Luofei He
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1072-1