On the existence of a global attractor for the wave equation with nonlinear strong damping perturbed by nonmonotone term

A. Kh Khanmamedov

doi:10.1016/j.na.2007.09.028

On the existence of a global attractor for the wave equation with nonlinear strong damping perturbed by nonmonotone term

A. Kh Khanmamedov

Division of Applied Mathematics

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

7 Citations (Scopus)

Abstract

The long-time behavior of the wave equation with nonmonotone interior damping is considered. It is shown that the semigroup generated by this equation possesses a global attractor in H₀¹ (Ω) × L₂ (Ω).

Original language	English
Pages (from-to)	3372-3385
Number of pages	14
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	69
Issue number	10
DOIs	https://doi.org/10.1016/j.na.2007.09.028
Publication status	Published - 15 Nov 2008

Keywords

Attractors
Nonmonotone damping
Strong damping
Wave equations

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10.1016/j.na.2007.09.028

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title = "On the existence of a global attractor for the wave equation with nonlinear strong damping perturbed by nonmonotone term",

abstract = "The long-time behavior of the wave equation with nonmonotone interior damping is considered. It is shown that the semigroup generated by this equation possesses a global attractor in H01 (Ω) × L2 (Ω).",

keywords = "Attractors, Nonmonotone damping, Strong damping, Wave equations",

author = "Khanmamedov, \{A. Kh\}",

year = "2008",

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doi = "10.1016/j.na.2007.09.028",

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T1 - On the existence of a global attractor for the wave equation with nonlinear strong damping perturbed by nonmonotone term

AU - Khanmamedov, A. Kh

PY - 2008/11/15

Y1 - 2008/11/15

N2 - The long-time behavior of the wave equation with nonmonotone interior damping is considered. It is shown that the semigroup generated by this equation possesses a global attractor in H01 (Ω) × L2 (Ω).

AB - The long-time behavior of the wave equation with nonmonotone interior damping is considered. It is shown that the semigroup generated by this equation possesses a global attractor in H01 (Ω) × L2 (Ω).

KW - Attractors

KW - Nonmonotone damping

KW - Strong damping

KW - Wave equations

UR - https://www.scopus.com/pages/publications/51349140403

U2 - 10.1016/j.na.2007.09.028

DO - 10.1016/j.na.2007.09.028

M3 - Article

AN - SCOPUS:51349140403

SN - 0362-546X

VL - 69

SP - 3372

EP - 3385

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 10

ER -

On the existence of a global attractor for the wave equation with nonlinear strong damping perturbed by nonmonotone term

Abstract

Keywords

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