Global attractors for a class of degenerate diffusion equations

Shingo Takeuchi, Tomomi Yokota

研究成果: Article査読

8 被引用数 (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.

本文言語English
ページ(範囲)1-13
ページ数13
ジャーナルElectronic Journal of Differential Equations
2003
出版ステータスPublished - 2003 12月 1
外部発表はい

ASJC Scopus subject areas

  • 分析

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