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 |
巻 | 162 |
号 | 1 |
DOI | |
出版ステータス | Published - 2000 3月 20 |
外部発表 | はい |
ASJC Scopus subject areas
- 分析