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

Year 2023, Volume: 6 Issue: 1, 32 - 41, 30.04.2023

Erhan Pişkin , Gülistan Butakın

https://doi.org/10.33187/jmsm.1238633

Cited By: 1

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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