Blow-up phenomena for a class of metaparabolic equations with time dependent coeffcient

Autor: Huafei Di, Yadong Shang
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: AIMS Mathematics, Vol 2, Iss 4, Pp 647-657 (2017)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/Math.2017.4.647/fulltext.html
Popis: This paper deals with the initial boundary value problem for a metaparabolic equations withtime dependent coeffcient. Under suitable conditions on initial data, a blow-up criterion which ensuresthat u cannot exist all time is given, and an upper bound for blow up time is derived. Moreover, wealso obtain a lower bound for blow-up time if blow up does occur by means of a di erential inequalitytechnique.
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