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On a Viscoelastic Plate Equation with Logarithmic Nonlinearity and Variable-Exponents: Global Existence, General Decay and Blow-Up of Solutions.
- Source :
-
Bulletin of the Iranian Mathematical Society . Aug2024, Vol. 50 Issue 4, p1-21. 21p. - Publication Year :
- 2024
-
Abstract
- A nonlinear viscoelastic plate equation with logarithmic nonlinearity and variable-exponents is studied. Firstly, the global existence is showed. Next, by using an integral inequality due to Komornik the general decay result is obtained. Finally, the blow-up of solutions is proved with negative initial energy. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10186301
- Volume :
- 50
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Iranian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 178307360
- Full Text :
- https://doi.org/10.1007/s41980-024-00897-6