Global attractors for a class of degenerate diffusion equations

Shingo Takeuchi, Tomomi Yokota

研究成果: Article

14 引用 (Scopus)

抄録

In this paper we give two existence results for a class of degenerate di usion equations with ρ-Laplacian. One is on a unique global strong solution, and the other is on a global attractor. It is also shown that the global attractor coincides with the unstable set of the set of all stationary solutions. As a by-product, an a-priori estimate for solutions of the corresponding elliptic equations is obtained.

元の言語English
ページ(範囲)1-13
ページ数13
ジャーナルElectronic Journal of Differential Equations
2003
出版物ステータスPublished - 2003
外部発表Yes

ASJC Scopus subject areas

  • Analysis

これを引用

@article{9a766ddb34844242b54bc02df945fca3,
title = "Global attractors for a class of degenerate diffusion equations",
abstract = "In this paper we give two existence results for a class of degenerate di usion equations with ρ-Laplacian. One is on a unique global strong solution, and the other is on a global attractor. It is also shown that the global attractor coincides with the unstable set of the set of all stationary solutions. As a by-product, an a-priori estimate for solutions of the corresponding elliptic equations is obtained.",
keywords = "ρ-Laplacian, Degenerate diffusion, Global attractors",
author = "Shingo Takeuchi and Tomomi Yokota",
year = "2003",
language = "English",
volume = "2003",
pages = "1--13",
journal = "Electronic Journal of Differential Equations",
issn = "1072-6691",
publisher = "Texas State University - San Marcos",

}

TY - JOUR

T1 - Global attractors for a class of degenerate diffusion equations

AU - Takeuchi, Shingo

AU - Yokota, Tomomi

PY - 2003

Y1 - 2003

N2 - In this paper we give two existence results for a class of degenerate di usion equations with ρ-Laplacian. One is on a unique global strong solution, and the other is on a global attractor. It is also shown that the global attractor coincides with the unstable set of the set of all stationary solutions. As a by-product, an a-priori estimate for solutions of the corresponding elliptic equations is obtained.

AB - In this paper we give two existence results for a class of degenerate di usion equations with ρ-Laplacian. One is on a unique global strong solution, and the other is on a global attractor. It is also shown that the global attractor coincides with the unstable set of the set of all stationary solutions. As a by-product, an a-priori estimate for solutions of the corresponding elliptic equations is obtained.

KW - ρ-Laplacian

KW - Degenerate diffusion

KW - Global attractors

UR - http://www.scopus.com/inward/record.url?scp=3042626102&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3042626102&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:3042626102

VL - 2003

SP - 1

EP - 13

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

ER -