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Global exixtence and exponential decay estimates for a dampad quasilinear equation |
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| Authors: | Kouémou-Patcheu Solange Solange Kouémou-Patcheu |
| Affiliation: | Institut de Recherche Mathématique Avancee , Université Louis Pasteur et CNRS, rue René-Descartes, Strasbourg Cedex, 67084, France |
| Abstract: | We prove the existence and uniqueness of a global solution of a damped quasilineat hyperbolic equatiion. We apply a method based on a special integral inequality, to show that the solution decays exponentially, and to obtain precise estimates of the constants in estimates. |
| Keywords: | global existence exponential decay quasilinear equation generalized damped string hyperbolic equation stabilization |