Global existence and blow up for a class of pseudo-parabolic equations with logarithmic nonlinearity

In this paper, we discuss the initial–boundary value problem for a class of pseudo-parabolic equations with logarithmic nonlinearity ut−aΔut−Δu+bu=|u|p−2ulog|u|. By the method of Galerkin approximation, we obtain the global existence of weak solutions with low initial energy and critical initial ene...

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Bibliographic Details
Main Authors: Fugeng Zeng, Qigang Deng, Yao Huang
Format: Article
Language:English
Published: Elsevier 2022-08-01
Series:Results in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037422000425