Well-posedness and stability results for a class of nonlinear fourth-order wave equation with variable-exponents

	Well-posedness and stability results for a class of nonlinear fourth-order wave equation with variable-exponents
International Journal of Nonlinear Analysis and Applications
مقاله 137، دوره 14، شماره 1، فروردین 2023، صفحه 1769-1785 اصل مقاله (449.83 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27129.3507
نویسندگان
Amar Ouaoua^* ؛ Wissem Boughamsa
Department of Sciences and Technology, Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), University of 20 August 1955, Skikda, Algeria
چکیده
In this paper, we consider a class of nonlinear fourth-order wave equation with damping and source terms of variable-exponent types. First, by the Faedo-Galerkin approximation method with positive initial energy and suitable conditions on the variable exponents $m(.)$ and $r(.) $, we established the local existence. We also prove that the local solution is global. Finally, the stability estimate of the solution was obtained by using the Komornik inequality
کلیدواژه‌ها
Nonlinear fourth-order wave equation؛ Faedo-Galerkin method؛ Global existence؛ Stability result
آمار تعداد مشاهده مقاله: 17,917 تعداد دریافت فایل اصل مقاله: 12,582

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