- Journal of Mathematical Sciences and Modelling
- Vol: 6 Issue: 1
- Existence and Decay of Solutions for a Parabolic-Type Kirchhoff Equation with Variable Exponents
Existence and Decay of Solutions for a Parabolic-Type Kirchhoff Equation with Variable Exponents
Authors : Erhan Pişkin, Gülistan Butakin
Pages : 32-41
Doi:10.33187/jmsm.1238633
View : 9 | Download : 3
Publication Date : 2023-04-30
Article Type : Research
Abstract :This paper deals with a parabolic-type Kirchhoff equation with variable exponents. Firstly, we obtain the global existence of solutions by Faedo-Galerkin method. Later, we prove the decay of solutions by Komornik\'s inequality.Keywords : Decay, existence, parabolic-type Kirchhoff equation, variable exponent