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Global attractor of the quasi-linear wave equation with strong damping.
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2018, Vol. 458 Issue 2, p1292-1306. 15p. - Publication Year :
- 2018
-
Abstract
- The paper investigates the existence of global attractor of the quasi-linear wave equation with strong damping u t t − γ Δ u t − Δ u + f ( u ) = ∇ ⋅ ϕ ′ ( ∇ u ) + g . It proves that the energy solution of the equation is stable and the related dynamical system possesses a (strong) global attractor in natural energy space (rather than a weak one as known before). These results improve the recent ones in [13] . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 458
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 126296979
- Full Text :
- https://doi.org/10.1016/j.jmaa.2017.10.021