ON THE DOMAINS OF ELLIPTIC OPERATORS IN L1

被引：0

作者：

Lunardi, Alessandra ^{[1
]}

Metafune, Giorgio ^{[2
]}

机构：

[1] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

[2] Univ Lecce, Dipartimento Matemat Ennio De Giorgi, I-73100 Lecce, Italy

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2004年 / 17卷 / 1-2期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove optimal embedding estimates for the domains of second-order elliptic operators in L-1 spaces. Our procedure relies on general semigroup theory and interpolation arguments, and on estimates for del T(t)f in L-1, in L-infinity, and possibly in fractional Sobolev spaces, for f is an element of L-1. It is applied to a number of examples, including some degenerate hypoelliptic operators, and operators with unbounded coefficients.

引用

页码：73 / 97

页数：25

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