Blow-up problems for a parabolic equation coupled with superlinear source and local linear boundary dissipation

In this paper, we consider the finite time blow-up results for a parabolic equation coupled with superlinear source term and local linear boundary dissipation. Using a concavity argument, we derive the sufficient conditions for the solutions to blow up in finite time. In particular, we obtain the ex...

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Veröffentlicht in:	arXiv.org 2022-05
Hauptverfasser:	Sun, Fenglong, Wang, Yutai, Yin, Hongjian
Format:	Artikel
Sprache:	eng
Schlagworte:	Concavity Energy dissipation Lower bounds Mathematics - Analysis of PDEs Upper bounds
Online-Zugang:	Volltext
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