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^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

34 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

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10.1016/j.jmaa.2008.09.010

Cite this

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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.",

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author = "Mitsuhiro Nakao",

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

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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

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

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ER -

An attractor for a nonlinear dissipative wave equation of Kirchhoff type

Abstract

Keywords

ASJC Scopus subject areas

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