Open AccessGlobal existence and energy decay of solutions for a wave equation with a time-varying delay term
Author(s) -
Aissa Benguessoum
Publication year - 2021
Publication title -
mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.294
H-Index - 6
eISSN - 2601-744X
pISSN - 1222-9016
DOI - 10.24193/mathcluj.2021.1.04
Subject(s) - bounded function , term (time) , multiplier (economics) , energy (signal processing) , wave equation , mathematics , energy method , time domain , mathematical analysis , domain (mathematical analysis) , physics , computer science , economics , quantum mechanics , statistics , computer vision , macroeconomics
We consider, in a bounded domain, a certain wave equation with a weak internal time-varying delay term. Under appropriate conditions, we prove global existence of solutions by the Faedo-Galerkin method and establish a decay rate estimate for the energy using the multiplier method.