TY - JOUR
T1 - Extinction of Weak Solutions for Nonlinear Parabolic Equations with Nonstandard Growth Conditions
AU - Gao , Jinglu
AU - Guo , Bin
JO - Communications in Mathematical Research 
VL - 4
SP - 376
EP - 382
PY - 2021
DA - 2021/05
SN - 28
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19040.html
KW - nonlinear parabolic equation, nonstandard growth condition, $p(x)$-Laplacian operator.
AB - <p style="text-align: justify;">This paper deals with the extinction of weak solutions of the initial and
boundary value problem for $u_t$ = div$((|u|^σ + d_0)|∇u|^{p(x)−2}∇u)$. When the exponent
belongs to different intervals, the solution has different singularity (vanishing in finite
time).</p>