The Rate at Which the Energy of Solutions for a Class ofp-Laplacian Wave Equation Decays
2015 ◽
Vol 2015
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pp. 1-5
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Keyword(s):
We will investigate the decay estimate of the energy of the global solutions to thep-Laplacian wave equation with dissipation of the formutt-div (∇xup-2∇xu)+σ(t)(ut-div (∇xutm-2∇xut))=0under suitable assumptions on the positive functionσ. For this end we use the multiplier method combined with nonlinear integral inequalities given by Martinez; the proof is based on the construction of a special weight function that depends on the behavior ofσ.
2017 ◽
Vol 68
(4)
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Keyword(s):
2007 ◽
Vol 2007
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pp. 1-9
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2013 ◽
Vol 405-408
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pp. 3160-3164
2007 ◽
Vol 13
(5-6)
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pp. 511-530
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2009 ◽
Vol 40
(3)
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pp. 217-223
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Keyword(s):
2001 ◽
Vol 59
(1)
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pp. 153-158
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