Year: 2022
Author: Gongwei Liu, Shuying Tian
Analysis in Theory and Applications, Vol. 38 (2022), Iss. 4 : pp. 451–466
Abstract
We investigate the initial boundary value problem of some semilinear pseudo-parabolic equations with Newtonian nonlocal term. We establish a lower bound for the blow-up time if blow-up does occur. Also both the upper bound for $T$ and blow up rate of the solution are given when $J(u_0)<0$. Moreover, we establish the blow up result for arbitrary initial energy and the upper bound for $T$. As a product, we refine the lifespan when $J(u_0)<0.$
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2019-0021
Analysis in Theory and Applications, Vol. 38 (2022), Iss. 4 : pp. 451–466
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Nonlocal pseudo-parabolic equations blow-up upper bound lower bound.