Existence and decay of solutions for a parabolic-type Kirchhoff equation with variable exponents

Pişkin, ErhanButakın, Gülistan2023-07-052023-07-052023Pişkin, E. ve Butakın, G. (2023). Existence and decay of solutions for a parabolic-type Kirchhoff equation with variable exponents. Journal of Mathematical Sciences and Modelling, 6(1), 32-41.2636-8692https://search.trdizin.gov.tr/tr/yayin/detay/1181194https://hdl.handle.net/11468/12192https://search.trdizin.gov.tr/yayin/detay/1181194This 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.eninfo:eu-repo/semantics/openAccessDecayExistenceParabolic-type Kirchhoff equationVariable exponentExistence and decay of solutions for a parabolic-type Kirchhoff equation with variable exponentsExistence and decay of solutions for a parabolic-type Kirchhoff equation with variable exponentsArticle613241118119410.33187/jmsm.1238633