Existence and Decay of Solutions for a Parabolic-Type Kirchhoff Equation with Variable Exponents

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Journal of Mathematical Sciences and Modelling
Volume: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 PİŞKİN, Gülistan BUTAKIN

Pages : 32-41

Doi:10.33187/jmsm.1238633

View : 24 | Download : 14

Publication Date : 2023-04-30

Article Type : Research Paper

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

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