Analyticity on L1 of the heat semigroup with Wentzell boundary conditions

被引：7

作者：

Warma, Mahamadi ^{[1
]}

机构：

[1] Univ Puerto Rico, Dept Math, Fac Nat Sci, San Juan, PR 00936 USA

来源：

ARCHIV DER MATHEMATIK | 2010年 / 94卷 / 01期

关键词：

Laplacian; Wentzell boundary conditions; Analytic semigroups; DUAL SEMIGROUPS; LAPLACIAN;

D O I：

10.1007/s00013-009-0068-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the semigroup generated by the realization of the Laplace operator with Wentzell boundary conditions in a bounded smooth domain is analytic on L-1(Omega) circle plus L-1(partial derivative Omega).

引用

页码：85 / 89

页数：5

共 48 条

[1] Analyticity on L1 of the heat semigroup with Wentzell boundary conditions
Mahamadi Warma
Archiv der Mathematik, 2010, 94 : 85 - 89
[2] Quasi-linear variable exponent boundary value problems with Wentzell-Robin and Wentzell boundary conditions
Velez-Santiago, Alejandro
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 266 (02) : 560 - 615
[3] ON THE ISOPERIMETRIC PROBLEM FOR THE LAPLACIAN WITH ROBIN AND WENTZELL BOUNDARY CONDITIONS
Kennedy, James B.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 82 (02) : 348 - 350
[4] A Faber-Krahn inequality for the Laplacian with generalised Wentzell boundary conditions
Kennedy, James
JOURNAL OF EVOLUTION EQUATIONS, 2008, 8 (03) : 557 - 582
[5] A Faber-Krahn inequality for the Laplacian with Generalised Wentzell boundary conditions
James Kennedy
Journal of Evolution Equations, 2008, 8 : 557 - 582
[6] Wentzell Boundary Conditions in the Nonsymmetric Case
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Goldstein, G. R.
Goldstein, J. A.
Romanelli, S.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2008, 3 (07) : 143 - 147
[7] NONSYMMETRIC ELLIPTIC OPERATORS WITH WENTZELL BOUNDARY CONDITIONS IN GENERAL DOMAINS
Favini, Angelo
Goldstein, Gisele Ruiz
Goldstein, Jerome A.
Obrecht, Enrico
Romanelli, Silvia
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (06) : 2475 - 2487
[8] Continuous dependence on the boundary conditions for the Wentzell Laplacian
Giuseppe Maria Coclite
Angelo Favini
Gisèle Ruiz Goldstein
Jerome A. Goldstein
Silvia Romanelli
Semigroup Forum, 2008, 77 : 101 - 108
[9] Asymptotics for wave equations with Wentzell boundary conditions and boundary damping
Chan Li
Ti-Jun Xiao
Semigroup Forum, 2017, 94 : 520 - 531
[10] Continuous dependence on the boundary conditions for the Wentzell Laplacian
Coclite, Giuseppe Maria
Favini, Angelo
Goldstein, GiseLe Ruiz
Goldstein, Jerome A.
Romanelli, Silvia
SEMIGROUP FORUM, 2008, 77 (01) : 101 - 108

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