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Asymptotic stability and blow-up for the wave equation with degenerate nonlocal nonlinear damping and source terms.
- Source :
-
Applicable Analysis . May2022, Vol. 101 Issue 9, p3170-3181. 12p. - Publication Year :
- 2022
-
Abstract
- This work is devoted to studying a wave equation with degenerate nonlocal nonlinear damping and source terms. By potential well theory, we show the asymptotic stability of energy in the presence of a degenerate damping of polynomial type when the initial energy is small. Also, we firstly derive some sufficient conditions on initial data which lead to finite time blow-up. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 101
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 157355095
- Full Text :
- https://doi.org/10.1080/00036811.2020.1836354