One-dimensional degenerate elliptic operators on Lp-spaces with complex coefficients

被引：0
|
作者：
Tan Duc Do [1 ]
ter Elst, A. F. M. [1 ]
机构：
[1] Univ Auckland, Dept Math, Private Bag 92019, Auckland 1142, New Zealand
来源：
SEMIGROUP FORUM | 2016年 / 92卷 / 03期
关键词：
Degenerate elliptic operator; Sectorial operator; Accretive operator; Contraction semigroup; Core;
D O I：
10.1007/s00233-015-9721-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let be a bounded Lipschitz continuous function which takes values in a sector. We consider the divergence form operator in . We characterize for which the semigroup generated by extends consistently to a contraction -semigroup on and for those we characterize when is a core for the generator in L-p(R).
引用
收藏
页码：559 / 586
页数：28
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