@Article{JPDE-31-3,
author = {Liu, Gongwei and Tian, Shuying},
title = {Global Existence and Blow Up of Solutions in a Cauchy Viscoelastic Problem},
journal = {Journal of Partial Differential Equations},
year = {2018},
volume = {31},
number = {3},
pages = {224--236},
abstract = {<p>The Cauchy problem for a viscoelastic equation with nonlinear damping
and source terms is considered. We establish the nonexistence result of global solutions
with initial energy controlled above by a critical value by modifying the method
introduced in a work by Autuori et al. in 2010. Then we establish global existence for
arbitrary initial data or the energy in potential well. These improve earlier results in
the literatures.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v31.n3.3},
url = {https://global-sci.com/article/88207/global-existence-and-blow-up-of-solutions-in-a-cauchy-viscoelastic-problem}
}