A semilinear parabolic system with generalized Wentzell boundary condition |
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Authors: | Tor A Kwembe Zhenbu Zhang |
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Institution: | Department of Mathematics, Jackson State University, Jackson, MS 39217, United States |
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Abstract: | In this paper, we consider a weak coupled semilinear parabolic system with general Wentzell boundary condition. We prove the well-posedness of the problem and derive different conditions in terms of the powers of the nonlinear terms under which the global solution exists and finite time blow-up occurs. |
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Keywords: | 35K55 35K57 35K60 |
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