Abstract
AbstractIn this paper, we prove the existence of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity in an interval $[0, T)$
[
0
,
T
)
by employing the Galerkin approximation method and compactness arguments. We show that the solutions become unbounded at a finite time $T^{\star}$
T
⋆
and find upper and lower bounds for this time.
Funder
Department of Science and Technology, New Delhi for their financial support
National Research Foundation of Korea
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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