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

共 50 条

[11] Injective Tauberian Operators on L1 and Operators with Dense Range on l∞
Johnson, William
Nasseri, Amir Bahman
Schechtman, Gideon
Tkocz, Tomasz
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2015, 58 (02): : 276 - 280
[12] Analytic semigroups generated in L1(Ω) by second order elliptic operators via duality methods
L. Angiuli
D. Pallara
F. Paronetto
Semigroup Forum, 2010, 80 : 255 - 271
[13] Norm attaining operators from L1(μ) into L∞(ν)
Payá, R
Saleh, Y
ARCHIV DER MATHEMATIK, 2000, 75 (05) : 380 - 388
[14] A SEMILINEAR ELLIPTIC EQUATION IN L1(RN)
GALLOUET, T
MOREL, JM
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1983, 296 (12): : 493 - 496
[15] Norm attaining operators from L1 into L∞
Finet, C
Payá, R
ISRAEL JOURNAL OF MATHEMATICS, 1998, 108 (1) : 139 - 143
[16] Unconditionally convergent series of operators and narrow operators on L1
Kadets, V
Kalton, N
Werner, D
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2005, 37 : 265 - 274
[17] Homogenization of elliptic PDE with L1 source term in domains with boundary having very general oscillations
Nandakumaran, A. K.
Sufian, Abu
Thazhathethil, Renjith
ASYMPTOTIC ANALYSIS, 2023, 133 (1-2) : 123 - 158
[18] L1 PROPERTIES OF 2 CLASSES OF SINGULAR 2ND ORDER ELLIPTIC-OPERATORS
PANG, MMH
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1988, 38 : 525 - 543
[19] Multilinear operators and weighted l1 norms
Department of Mathematics, University of California, Los Angeles, CA 90024, United States
不详
Linear Algebra Its Appl, 1-3 (1-10):
[20] ORDER PRESERVING NONEXPANSIVE OPERATORS IN L1
KRENGEL, U
LIN, M
ISRAEL JOURNAL OF MATHEMATICS, 1987, 58 (02) : 170 - 192

← 1 2 3 4 5 →