Decay estimate and blow-up for a fourth order parabolic equation modeling epitaxial thin film growth

Autor: Hao Zhang, Zejian Cui, Xiangyu Xiao
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 5, Pp 11297-11311 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023572?viewType=HTML
Popis: In this paper, we study a fourth order parabolic equation modeling epitaxial thin film growth. By using the potential well method and some inequality techniques, we obtain the decay estimate of weak solutions. Meanwhile, the blow-up time is estimated from above and below. The blow-up rate is also derived.
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