An attractor for a nonlinear dissipative wave equation of Kirchhoff type

Mitsuhiro Nakao

doi:10.1016/j.jmaa.2008.09.010

An attractor for a nonlinear dissipative wave equation of Kirchhoff type

Mitsuhiro Nakao

Research output: Contribution to journal › Article

25 Citations (Scopus)

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 u_t.

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	https://doi.org/10.1016/j.jmaa.2008.09.010
Publication status	Published - 2009 May 15
Externally published	Yes

Keywords

'Local' attractor
H solution
Kirchhoff equation

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2008.09.010

Fingerprint Dive into the research topics of 'An attractor for a nonlinear dissipative wave equation of Kirchhoff type'. Together they form a unique fingerprint.

Cite this

Nakao, M. (2009). An attractor for a nonlinear dissipative wave equation of Kirchhoff type. Journal of Mathematical Analysis and Applications, 353(2), 652-659. https://doi.org/10.1016/j.jmaa.2008.09.010

@article{f9bbd03a0e2a40128f3e245924606a7f,

title = "An attractor for a nonlinear dissipative wave equation of Kirchhoff type",

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.",

keywords = "'Local' attractor, H solution, Kirchhoff equation",

author = "Mitsuhiro Nakao",

year = "2009",

month = may,

day = "15",

doi = "10.1016/j.jmaa.2008.09.010",

language = "English",

volume = "353",

pages = "652--659",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

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

AN - SCOPUS:58549084345

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 -