Existence and Decay of Solutions for a Parabolic-Type Kirchhoff Equation with Variable Exponents-Reference-Cited by-同舟云学术

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

Published:2023-04-30 Issue:1 Volume:6 Page:32-41
ISSN:2636-8692
Container-title:Journal of Mathematical Sciences and Modelling
language:
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Author:

PİŞKİN Erhan¹^ORCID,BUTAKIN Gülistan²^ORCID

Affiliation:

1. DICLE UNIVERSITY

2. DİCLE ÜNİVERSİTESİ

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.

Publisher

Journal of Mathematical Sciences and Modelling

Subject

Materials Chemistry,Economics and Econometrics,Media Technology,Forestry

Reference22 articles.

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4. [4] L. Diening, P. Harjulehto, P. Hasto, M. Ruzicka, Lebesque and Sobolev Spaces with Variable Exponents, Springer, 2011.

5. [5] M. Ruzicka, Electrorheological Fluids: Modeling and Mathematical Theory, Lecture Notes in Mathematics, Springer, 2000.

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