A transmission problem for waves under time-varying delay and nonlinear weight

This manuscript focus on in the transmission problem for one dimensional waves with nonlinear weights on the frictional damping and time-varying delay. We prove global existence of solutions using Kato's variable norm technique and we show the exponential stability by the energy method with the...

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Bibliographic Details
Published in:arXiv.org 2021-02
Main Authors: Nonato, Carlos A S, Raposo, Carlos A, Bastos, Waldemar D
Format: Article
Language:English
Subjects:
Damping
Energy methods
Online Access:Get full text
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Summary:This manuscript focus on in the transmission problem for one dimensional waves with nonlinear weights on the frictional damping and time-varying delay. We prove global existence of solutions using Kato's variable norm technique and we show the exponential stability by the energy method with the construction of a suitable Lyapunov functional.
ISSN:2331-8422