Global existence and gradient estimates for the quasilinear parabolic equations of m-Laplacian type with a nonlinear convection term

Mitsuhiro Nakao, Caisheng Chen

研究成果: Article査読

29 被引用数 (Scopus)

抄録

In this paper, we derive precise estimates for ∇u(t) including smoothing effects near t=0 and decay as t→∞ as well as global existence of the solutions u(t) to the initial-boundary value problem in a bounded domain in Rn for the quasilinear parabolic equation of the m Laplacian type with a nonlinear convection term b(u)∇u. For the initial data u0 we only assume u0∈Lq(Ω), 1≤q<∞.

本文言語English
ページ(範囲)224-250
ページ数27
ジャーナルJournal of Differential Equations
162
1
DOI
出版ステータスPublished - 2000 3 20
外部発表はい

ASJC Scopus subject areas

  • 分析

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