@Article{AAM-35-145,
author = {Hu , QingyingLi , Donghao and Zhang , Hongwei},
title = {A Blow-Up Result for a Class Doubly Nonlinear Parabolic Equations with Variable-Exponent Nonlinearities},
journal = {Annals of Applied Mathematics},
year = {2020},
volume = {35},
number = {2},
pages = {145--151},
abstract = {
This paper deals with the following doubly nonlinear parabolic equations
($u$ + |$u$|$r(x)$−2$u$)$t$ − div(|∇$u$|$m(x)$−2∇$u$) = |$u$|$p(x)$−2$u$, 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.
},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/aam/18073.html}
}
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 -
This paper deals with the following doubly nonlinear parabolic equations
($u$ + |$u$|$r(x)$−2$u$)$t$ − div(|∇$u$|$m(x)$−2∇$u$) = |$u$|$p(x)$−2$u$, 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.
Qingying Hu, Donghao Li & Hongwei Zhang. (2020). A Blow-Up Result for a Class Doubly Nonlinear Parabolic Equations with Variable-Exponent Nonlinearities.
Annals of Applied Mathematics. 35 (2).
145-151.
doi:
