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Blow-up of energy solutions for the semilinear generalized Tricomi equation with nonlinear memory term
- Source :
- AIMS Mathematics, Vol 6, Iss 10, Pp 10907-10919 (2021)
- Publication Year :
- 2021
- Publisher :
- AIMS Press, 2021.
-
Abstract
- In this paper, we investigate blow-up conditions for the semilinear generalized Tricomi equation with a general nonlinear memory term in $ \mathbb{R}^n $ by using suitable functionals and employing iteration procedures. Particularly, a new combined effect from the relaxation function and the time-dependent coefficient is found.
- Subjects :
- General Mathematics
Nonlinear memory
010102 general mathematics
Mathematics::Analysis of PDEs
Relaxation (iterative method)
Function (mathematics)
Wave equation
01 natural sciences
Term (time)
010101 applied mathematics
nonlinear memory term
semilinear hyperbolic equation
QA1-939
Applied mathematics
wave equation
generalized tricomi operator
0101 mathematics
Energy (signal processing)
blow-up
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 6
- Issue :
- 10
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....84aa17f59da618c75f777e4b4616f195