A class of viscous p-Laplace equation with nonlinear sources |
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| Institution: | 1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;2. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China;1. Pusan National University, Mathematics Department, Busan, 609-735, Republic of Korea;2. Iowa State University, Mathematics Department, Ames, IA 50011, United States;1. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo–Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos, SP, Brazil;2. Universidade Estadual de Maringá, 87020-900 Maringá, PR, Brazil |
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| Abstract: | In this paper, we prove the global existence of solutions to the initial boundary value problem of a viscous p-Laplace equation with nonlinear sources. The asymptotic behavior of solutions as the viscous coefficient k tends to zero is also investigated. In particular, we discuss the H1-Galerkin finite element method for our problem and establish the error estimates for two semi-discrete approximate schemes. |
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