Article
2024
·
1 citations
Existence and extinction of solutions for parabolic equations with nonstandard growth nonlinearity
Ayazoglu (Mashiyev), Rabil, Alisoy, Gulizar, Akbulut, Sezgin, Aydin, Tuba Agirman
Abstract
In this paper, we consider an initial boundary value problem for a class of p ( <middle dot>) -Laplacian parabolic equation with nonstandard nonlinearity in a bounded domain. By using new approach, we obtain the global and decay of existence of the solutions. Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.
Keywords
. parabolic
p (
)-Laplacian
variable exponents
global existence
decay property
extinction
BLOW-UP
VARIABLE EXPONENT
VARIATIONAL INEQUALITY
SPACES
INSTABILITY
CONVECTION
THEOREMS
WoS Categories
Mathematics
Statistics & Probability
Citation
- Journal
- HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Year
- 2024
- Volume
- 53
- Issue
- 2
- Pages
- 367-381
- eISSN
- 2651-477X
- DOI
- 10.15672/hujms.1106985
- WoS UID
- WOS:001225022700005