抄録
Let A be the generator of an analytic semigroup T on L2(Ω), where Ω is a homogeneous space with doubling property. We prove maximal Lp - Lq a-priori estimates for the solution of the parabolic evolution equation u′(t) = Au(t) + f(t), u(0) = 0 provided T may be represented by a heat-kernel satisfying certain bounds (and in particular a Gaussian bound).
本文言語 | English |
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ページ(範囲) | 1647-1669 |
ページ数 | 23 |
ジャーナル | Communications in Partial Differential Equations |
巻 | 22 |
号 | 9-10 |
出版ステータス | Published - 1997 |
外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)
- 分析
- 応用数学