Elsevier

Applied Mathematics Letters

Volume 61, November 2016, Pages 20-25
Applied Mathematics Letters

Global existence and non-extinction of solutions to a fourth-order parabolic equation

https://doi.org/10.1016/j.aml.2016.05.002Get rights and content
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Abstract

In this paper, we establish the global existence and non-extinction results for an initial–boundary value problem of fourth-order parabolic equation, with non-local source |u|pΩ|u|pdx for 0<p1.

Keywords

Fourth-order equation
Non-extinction
Non-local source

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Supported by the National Natural Science Foundation of China (11201047, 11371153, 11571062) and the Fundamental Research Funds for the Central Universities (DUT16LK01).