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Blow-Up Phenomena for Some Pseudo-Parabolic Equations with Nonlocal Term

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摘要 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.
出处 《Analysis in Theory and Applications》 CSCD 2022年第4期451-466,共16页 分析理论与应用(英文刊)
基金 NSFC(Nos.11811145,12071364) the Fundamental Research Funds for the Central Universities(WUT:2020IA003) Key Scientific Research Foundation of the Higher Education Institutions of Henan Province,China(No.19A110004)。
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