In this paper, we consider a nonlinear parabolic m(x)-biharmonic equation with logarithmic source terms. Applying the potential well method combined with the Nehari manifold, the global existence and blow-up of… Click to show full abstract
In this paper, we consider a nonlinear parabolic m(x)-biharmonic equation with logarithmic source terms. Applying the potential well method combined with the Nehari manifold, the global existence and blow-up of weak solutions is proved. In addition, we establish decay estimates for the global weak solutions.
Keywords:
qualitative analysis;
parabolic biharmonic;
biharmonic equation;
equation logarithmic;
analysis solutions
Journal Title: Filomat
Year Published: 2025
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Journal Title: Filomat
Year Published: 2025
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!