Existence and Decay of Solutions for a Parabolic-Type Kirchhoff Equation with Variable Exponents
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Mahmut Akyigit
2023-04-01
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| Series: | Journal of Mathematical Sciences and Modelling |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/2902214 |
| Summary: | 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. |
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| ISSN: | 2636-8692 |