TY - JOUR
T1 - Existence and Blow-up of Solutions for a Nonlinear Parabolic System with Variable Exponents
AU - Gao , Yunzhu
AU - Gao , Wenjie
JO - Communications in Mathematical Research 
VL - 1
SP - 61
EP - 67
PY - 2021
DA - 2021/05
SN - 29
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19029.html
KW - blow-up, existence, nonlinear parabolic system, variable exponent.
AB - <p style="text-align: justify;">In this paper, we study a nonlinear parabolic system with variable exponents. The existence of classical solutions to an initial and boundary value problem
is obtained by a fixed point theorem of the contraction mapping, and the blow-up
property of solutions in finite time is obtained with the help of the eigenfunction of
the Laplace equation and a delicate estimate.</p>