Open AccessGeneral decay of the double dispersive wave equation with memory and source terms
Author(s) -
Mohamed Mellah
Publication year - 2021
Publication title -
open journal of mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2616-8111
pISSN - 2616-8103
DOI - 10.30538/psrp-oma2021.0077
Subject(s) - physics , bounded function , wave equation , delta , domain (mathematical analysis) , energy (signal processing) , mathematical physics , mathematical analysis , mathematics , quantum mechanics , astronomy
The double dispersive wave equation with memory and source terms \(u_{tt}-\Delta u-\Delta u_{tt}+\Delta^{2}u-\int_{0}^{t}g(t-\tau)\Delta^{2}u(\tau)d\tau-\Delta u_{t}=|u|^{p-2}u \) is considered in bounded domain. The existence of global solutions and decay rates of the energy are proved.