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Quasilinear p(x)- Laplacian parabolic problem: upper bound for blow-up time
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Journal Article
Quasilinear p(x)- Laplacian parabolic problem: upper bound for blow-up time
2021
Overview
This paper presents a study of blow-up of solutions to a quasilinear
p
(
x
)-Laplacian problem related to the equation
z
t
(
x
,
t
)
=
Δ
p
(
x
)
z
(
x
,
t
)
+
g
(
z
(
x
,
t
)
)
We use a condition on the nonlinear function
g
(
z
) given by,
ς
∫
0
z
g
(
s
)
d
s
⩽
z
g
(
z
)
+
η
z
p
(
x
)
+
μ
,
z
>
0
We extend the existing results on blow-up for a nonlinear heat equation to variable exponent case and establish an upper bound for the blow-up time with the help of concavity method.
Publisher
IOP Publishing
Subject
