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).
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页码：85 / 89
页数：5
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