Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity

Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity

Abstract In 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 ⋆ $...

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Bibliographic Details
Main Authors: N. Lakshmipriya, S. Gnanavel, K. Balachandran, Yong-Ki Ma
Format: Article
Language:English
Published: SpringerOpen 2022-05-01
Series:Boundary Value Problems
Subjects:
Weak solutions
Blow-up
Variable exponent spaces
Galerkin method
p ( x ) $p(x)$ -Laplacian operator
Online Access:https://doi.org/10.1186/s13661-022-01611-3

Internet

https://doi.org/10.1186/s13661-022-01611-3

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