Extinction of Weak Solutions for Nonlinear Parabolic Equations with Nonstandard Growth Conditions
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@Article{CMR-28-376,
author = {Gao , Jinglu and Guo , Bin},
title = {Extinction of Weak Solutions for Nonlinear Parabolic Equations with Nonstandard Growth Conditions},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {28},
number = {4},
pages = {376--382},
abstract = {
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).
}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19040.html} }
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 -
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).
Jinglu Gao & Bin Guo. (2021). Extinction of Weak Solutions for Nonlinear Parabolic Equations with Nonstandard Growth Conditions.
Communications in Mathematical Research . 28 (4).
376-382.
doi:
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