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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/721503 |
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| _version_ | 1832558734396620800 |
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| author | Soufiane Mokeddem Khaled Ben Walid Mansour |
| author_facet | Soufiane Mokeddem Khaled Ben Walid Mansour |
| author_sort | Soufiane Mokeddem |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7db261a42fa94e84b91a2a0dfffa883f |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-7db261a42fa94e84b91a2a0dfffa883f2025-02-03T01:31:38ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/721503721503The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation DecaysSoufiane Mokeddem0Khaled Ben Walid Mansour1Laboratory of Biomathematics, Djillali Liabes University, PB 89, 22000 Sidi Bel Abbes, AlgeriaDepartment of Mathematics, Djillali Liabes University, 22000 Sidi Bel Abbes, AlgeriaWe 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.http://dx.doi.org/10.1155/2015/721503 |
| spellingShingle | Soufiane Mokeddem Khaled Ben Walid Mansour The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays International Journal of Differential Equations |
| title | The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays |
| title_full | The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays |
| title_fullStr | The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays |
| title_full_unstemmed | The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays |
| title_short | The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays |
| title_sort | rate at which the energy of solutions for a class of p laplacian wave equation decays |
| url | http://dx.doi.org/10.1155/2015/721503 |
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