Global existence and blow-up of solutions to a nonlocal evolution p-laplace system with nonlinear boundary conditions |
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| Authors: | Xuesong Wu Wenjie Gao Jianwen Cao |
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| Institution: | a Institute of Software, Chinese Academy of Sciences, Beijing 100190, China
b Institute of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | In this paper, the authors discuss the global existence and blow-up of the solution to an evolution p-Laplace system with nonlinear sources and nonlinear boundary condition. The authors first establish the local existence of solutions, then give a necessary and sufficient condition on the global existence of the positive solution. |
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| Keywords: | evolution p-Laplacian nonlinear boundary value problem nonlinear sources global existence blow-up |
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