Chinese Quarterly Journal of Mathematics ›› 2020, Vol. 35 ›› Issue (3): 302-310.doi: 10.13371/j.cnki.chin.q.j.m.2020.03.005
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Abstract: We consider a wave equation with nonlocal nonlinear damping and source terms. We prove a general energy decay property for solutions by constructing a stable set and using the multiplier technique. The main difficult is how to handle with the nonlocal nonlinear damping term. Our result extends and improves the result in the literature such as the work by Jorge Silva and Narciso(Evolution Equation and Control Theory, 2017(6):437-470) and Narciso(Evolution Equations and Control Theory, 2020, 9(2): 487-508).
Key words: Wave equation, Initial boundary value problem, Nonlinear nonlocal damping, Energy decay
CLC Number:
O175.2
ZHANG Hong-wei, LI Dong-hao, HU Qing-ying. General Energy Decay of Solutions for A Wave Equation with Nonlocal Nonlinear Damping and Source Terms[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(3): 302-310.
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URL: https://sxjk.magtechjournal.com/EN/10.13371/j.cnki.chin.q.j.m.2020.03.005
https://sxjk.magtechjournal.com/EN/Y2020/V35/I3/302