Sharp criteria of global existence and blow-up for a type of nonlinear parabolic equations |
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Authors: | Yi Jiang Yongle Zhang |
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Institution: | Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, China |
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Abstract: | We study a type of nonlinear parabolic equations. In terms of the variational characterization of the corresponding nonlinear elliptic equations and the invariant flow arguments, we establish the sharp criteria for global existence and blow-up. Furthermore, we also get the instability of the steady states and the global existence with small initial data. |
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Keywords: | Nonlinear parabolic equation Variational characterization Invariant flow Global existence Blow up |
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