Abstract
In this paper we prove the existence and some absorbing properties of an attractor in a local sense for the initial-boundary value problem of a quasilinear wave equation of Kirchhoff type with a standard dissipation ut.
| Original language | English |
|---|---|
| Pages (from-to) | 652-659 |
| Number of pages | 8 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 353 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2009 May 15 |
| Externally published | Yes |
Fingerprint
Keywords
- 'Local' attractor
- H solution
- Kirchhoff equation
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Cite this
An attractor for a nonlinear dissipative wave equation of Kirchhoff type. / Nakao, Mitsuhiro.
In: Journal of Mathematical Analysis and Applications, Vol. 353, No. 2, 15.05.2009, p. 652-659.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - An attractor for a nonlinear dissipative wave equation of Kirchhoff type
AU - Nakao, Mitsuhiro
PY - 2009/5/15
Y1 - 2009/5/15
N2 - In this paper we prove the existence and some absorbing properties of an attractor in a local sense for the initial-boundary value problem of a quasilinear wave equation of Kirchhoff type with a standard dissipation ut.
AB - In this paper we prove the existence and some absorbing properties of an attractor in a local sense for the initial-boundary value problem of a quasilinear wave equation of Kirchhoff type with a standard dissipation ut.
KW - 'Local' attractor
KW - H solution
KW - Kirchhoff equation
UR - http://www.scopus.com/inward/record.url?scp=58549084345&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=58549084345&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2008.09.010
DO - 10.1016/j.jmaa.2008.09.010
M3 - Article
VL - 353
SP - 652
EP - 659
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 2
ER -