A necessary and sufficient condition for the existence of global solutions to discrete semilinear parabolic equations on networks

Soon-Yeong Chung and Jaeho Hwang

Chaos, Solitons & Fractals, 2022, vol. 158, issue C

Abstract: A necessary-sufficient condition for the existence and non-existence of global solutions to the following semilinear parabolic equationsut=Δu+ψtup,inΩ×0t∗,

Keywords: Parabolic equation; Fujita blow-up; Critical exponent; Critical set (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:158:y:2022:i:c:s096007792200265x

DOI: 10.1016/j.chaos.2022.112055

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