Cores of second order differential linear operators with unbounded coefficients on RN

被引：6

作者：

Albanese, AA ^{[1
]}

Mangino, E ^{[1
]}

机构：

[1] Univ Lecce, Dipartimento Matemat E De Giorgi, I-73100 Lecce, Italy

来源：

SEMIGROUP FORUM | 2005年 / 70卷 / 02期

关键词：

D O I：

10.1007/s00233-004-0171-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the problem of the existence of bi-cores for some classes of second order elliptic differential operators with unbounded coefficients generating bicontinuous semigroups on the space of bounded continuous functions on R-N.

引用

页码：278 / 295

页数：18

共 20 条

[1] Trotter-Kato theorems for bi-continuous semigroups and applications to Feller semigroups [J].

Albanese, AA ;

Mangino, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (02) :477-492

[2] Levy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator [J].

Bakry, D ;

Ledoux, M .

INVENTIONES MATHEMATICAE, 1996, 123 (02) :259-281

[3]

BERTOLDI M, IN PRESS STUDIA MATH

[4] A HILLE-YOSIDA THEOREM FOR WEAKLY CONTINUOUS SEMIGROUPS [J].

CERRAI, S .

SEMIGROUP FORUM, 1994, 49 (03) :349-367

[5] ON THE ORNSTEIN-UHLENBECK OPERATOR IN SPACES OF CONTINUOUS-FUNCTIONS [J].

DAPRATO, G ;

LUNARDI, A .

JOURNAL OF FUNCTIONAL ANALYSIS, 1995, 131 (01) :94-114

[6]

Eberle A, 1999, LECT NOTES MATH, V1718

[7]

Edwards RE., 1994, FUNCTIONAL ANAL THEO

[8]

ENGEL KJ, 2000, GRAD TEXT M, V194, pR17

[9]

Jarchow H., 1981, LOCALLY CONVEX SPACE

[10] A Hille-Yosida theorem for Bi-continuous semigroups [J].

Kühnemund, F .

SEMIGROUP FORUM, 2003, 67 (02) :205-225

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