Existence and Blow-up of Solutions for a Nonlinear Parabolic System with Variable Exponents
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@Article{CMR-29-61,
author = {Gao , Yunzhu and Gao , Wenjie},
title = {Existence and Blow-up of Solutions for a Nonlinear Parabolic System with Variable Exponents},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {29},
number = {1},
pages = {61--67},
abstract = {
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.
}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19029.html} }
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 -
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.
Gao , Yunzhu and Gao , Wenjie. (2021). Existence and Blow-up of Solutions for a Nonlinear Parabolic System with Variable Exponents.
Communications in Mathematical Research . 29 (1).
61-67.
doi:
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