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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 | ||
| تاریخ دریافت: 19 اردیبهشت 1401، تاریخ بازنگری: 05 مهر 1401، تاریخ پذیرش: 05 آذر 1401 | ||
| 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 | ||
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