TY - JOUR
T1 - A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms
AU - Su , Xiao
AU - Wang , Shubin
JO - Journal of Partial Differential Equations
VL - 2
SP - 181
EP - 190
PY - 2019
DA - 2019/07
SN - 32
DO - http://doi.org/10.4208/jpde.v32.n2.7
UR - https://global-sci.org/intro/article_detail/jpde/13242.html
KW - Wave equations
KW - blow-up
KW - arbitrary positive initial energy.
AB - <p>This article is concerned with the finite time blow-up of weak solutions to
the wave equations with nonlinear damping and source terms. We provide the sufficient
conditions of finite time blow-up of weak solutions with arbitrary positive initial
energy by constructing a energy perturbation function.</p>