General Decay Rates of the Solution Energy in a Viscoelastic Wave Equation With Boundary Feedback and a Nonlinear Source
DOI:
https://doi.org/10.24193/subbmath.2024.2.09Keywords:
General decay, nonlinear source, viscoelastic, wave equation, relaxation functionAbstract
In a bounded domain, we consider a viscoelastic equation with a nonlinear feedback localized on a part of the boundary and certain initial data. We establish an explicit and general decay rate result, using some properties of the convex functions. Our new results substantially improve several earlier related results in the literature.
Mathematics Subject Classification (2010): 35L05, 35L70, 35L15, 93D20, 74D05.
Received 17 December 2021; Accepted 10 April 2022.
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