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
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D O I：
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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.
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页码：73 / 97
页数：25
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