TY - JOUR
T1 - A Blow-Up Result for a Class Doubly Nonlinear Parabolic Equations with Variable-Exponent Nonlinearities
AU - Hu , Qingying
AU - Li , Donghao
AU - Zhang , Hongwei
JO - Annals of Applied Mathematics
VL - 2
SP - 145
EP - 151
PY - 2020
DA - 2020/08
SN - 35
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18073.html
KW - doubly nonlinear parabolic equations, variable-exponent nonlinearities, blow-up.
AB - <p style="text-align: justify;">This paper deals with the following doubly nonlinear parabolic equations
($u$ + |$u$|<sup>$r(x)$−2</sup>$u$)<sub>$t$</sub> − div(|∇$u$|<sup>$m(x)$−2</sup>∇$u$) = |$u$|<sup>$p(x)$−2</sup>$u$, where the exponents of
nonlinearity $r(x)$, $m(x)$ and $p(x)$ are given functions. Under some appropriate
assumptions on the exponents of nonlinearity, and with certain initial data, a
blow-up result is established with positive initial energy.</p>