TY - JOUR T1 - Blow-Up Phenomena for Some Pseudo-Parabolic Equations with Nonlocal Term AU - Liu , Gongwei AU - Tian , Shuying JO - Analysis in Theory and Applications VL - 4 SP - 451 EP - 466 PY - 2023 DA - 2023/01 SN - 38 DO - http://doi.org/10.4208/ata.OA-2019-0021 UR - https://global-sci.org/intro/article_detail/ata/21359.html KW - Nonlocal pseudo-parabolic equations, blow-up, upper bound, lower bound. AB -

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 $J(u_0)<0.$