Uniform Attractors of Non-Autonomous Dissipative Semilinear Wave Equations

Kaitai Li; Chunshan Zhao

doi:10.1080/10020070312331343220

Uniform Attractors of Non-Autonomous Dissipative Semilinear Wave Equations

Kaitai Li, Chunshan Zhao

Mathematical Sciences

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

Abstract

The asymptotic long time behaviors of a certain type of non-autonomous dissipative semilinear wave equations are studied. The existence of uniform attractors is proved and their upper bounds for both Hausdorff and Fractal dimensions of uniform are given when the external force satisfies suitable conditions.

Original language	American English
Journal	Progress in Natural Science
Volume	13
DOIs	https://doi.org/10.1080/10020070312331343220
State	Published - 2003

Keywords

Hausdorff and Fractal Dimensions
Semilinear Wave Equations
Uniform Attractor

DC Disciplines

Mathematics

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title = "Uniform Attractors of Non-Autonomous Dissipative Semilinear Wave Equations",

abstract = " The asymptotic long time behaviors of a certain type of non-autonomous dissipative semilinear wave equations are studied. The existence of uniform attractors is proved and their upper bounds for both Hausdorff and Fractal dimensions of uniform are given when the external force satisfies suitable conditions.",

keywords = "Hausdorff and Fractal Dimensions, Semilinear Wave Equations, Uniform Attractor",

author = "Kaitai Li and Chunshan Zhao",

year = "2003",

doi = "10.1080/10020070312331343220",

language = "American English",

volume = "13",

journal = "Progress in Natural Science",

issn = "1745-5391",

publisher = "Chinese Materials Research Society",

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T1 - Uniform Attractors of Non-Autonomous Dissipative Semilinear Wave Equations

AU - Li, Kaitai

AU - Zhao, Chunshan

PY - 2003

Y1 - 2003

N2 - The asymptotic long time behaviors of a certain type of non-autonomous dissipative semilinear wave equations are studied. The existence of uniform attractors is proved and their upper bounds for both Hausdorff and Fractal dimensions of uniform are given when the external force satisfies suitable conditions.

AB - The asymptotic long time behaviors of a certain type of non-autonomous dissipative semilinear wave equations are studied. The existence of uniform attractors is proved and their upper bounds for both Hausdorff and Fractal dimensions of uniform are given when the external force satisfies suitable conditions.

KW - Hausdorff and Fractal Dimensions

KW - Semilinear Wave Equations

KW - Uniform Attractor

UR - https://doi.org/10.1080/10020070312331343220

U2 - 10.1080/10020070312331343220

DO - 10.1080/10020070312331343220

M3 - Article

SN - 1745-5391

VL - 13

JO - Progress in Natural Science

JF - Progress in Natural Science

ER -

Uniform Attractors of Non-Autonomous Dissipative Semilinear Wave Equations

Abstract

Keywords

DC Disciplines

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