Global Solution and Asymptotic Behaviour for a Wave Equation Type p-Laplacian with p-Laplacian Damping
Keywords:Global solution, Potential well, p-Laplacian damping, Asymptotic behaviour, Nakao method
In this work we study the global solution, uniqueness and asymptotic behaviour of the nonlinear equation
utt − ∆pu − ∆put =|u|r−1u
where ∆pu is the nonlinear p-Laplacian operator, 2 ≤ p < ∞. The global solutions are constructed by means of the Faedo-Galerkin approximations and the asymptotic behavior is obtained by Nakao method. Keywords: p-Laplacian, global solution, asymptotic behaviour, p-Laplacian damping.
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Copyright (c) 2020 Carlos Raposo, Ducival Pereira, Celsa Maranhão
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