Analysis of a pseudo-parabolic equation by potential wells

Annali di Matematica Pura ed Applicata (1923 -)(2021)

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摘要
In this paper, we consider a pseudo-parabolic equation, which was studied extensively in recent years. We generalize and extend the existing results in the following three aspects. First, we consider the vacuum isolating phenomenon with the initial energy J(u_0) satisfying J(u_0)≤ 0 and 0更多
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关键词
Semilinear pseudo-parabolic equation,Vacuum isolating phenomenon,Invariant region,Global existence,Blow-up,Energy decay,Exponential grow
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