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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Elsevier
2022-08-01
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Series: | Results in Applied Mathematics |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037422000425 |