Blow-up of weak solutions for a higher-order heat equation with logarithmic nonlinearity

This paper deal with the initial boundary value problem for a higher-order heat equation with logarithmic source term ut + (-Δ)m u - Δut = uk-2 uln |u|. We obtain blow-up of weak solutions in the finite time, by employing potential well technique and concave technique. In addition, the upper bound o...

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Veröffentlicht in:	Mathematical notes (Miskolci Egyetem (Hungary)) 2023, Vol.24 (2), p.749-762
Hauptverfasser:	Cömert, Tuğrul, Pişkin, Erhan
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Cauchy problems Logarithms Thermodynamics Upper bounds
Online-Zugang:	Volltext
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