Global existence, decay and blow up of solutions for a quasilinear hyperbolic equations with source terms

	Global existence, decay and blow up of solutions for a quasilinear hyperbolic equations with source terms
International Journal of Nonlinear Analysis and Applications
مقاله 154، دوره 14، شماره 1، فروردین 2023، صفحه 1977-1988 اصل مقاله (407.28 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27362.3574
نویسندگان
Abir Bounaama^* ؛ Messaoud Maouni؛ Amar Ouaoua
Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS). University of 20 August 1955, Skikda, Algeria
چکیده
In this paper, we consider the boundary value problem related to the quasilinear hyperbolic equation with nonlinear source terms. We start by showing the local existence theorem. Then, we prove the global existence and the decay of the energy by using Nakao's inequality, finally we get the finite time blow up of solutions.
کلیدواژه‌ها
blow up؛ energy function؛ quasilinear hyperbolic equation؛ source terms
آمار تعداد مشاهده مقاله: 17,846 تعداد دریافت فایل اصل مقاله: 12,422

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