The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays
We will investigate the decay estimate of the energy of the global solutions to the p-Laplacian wave equation with dissipation of the form utt-div (∇xup-2∇xu)+σ(t)(ut-div (∇xutm-2∇xut))=0 under suitable as...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/721503 |
| Summary: | We will investigate
the decay estimate of the energy of the global
solutions to the p-Laplacian wave equation with
dissipation of the form
utt-div (∇xup-2∇xu)+σ(t)(ut-div (∇xutm-2∇xut))=0
under suitable assumptions on the positive
function
σ.
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 of
σ. |
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| ISSN: | 1687-9643 1687-9651 |