The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions

被引：56

作者：

Arendt, W ^{[1
]}

Metafune, G

Pallara, D

Romanelli, S

机构：

[1] Univ Ulm, Abt Angew Anal, D-89069 Ulm, Germany

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

[3] Univ Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy

来源：

SEMIGROUP FORUM | 2003年 / 67卷 / 02期

关键词：

Wentzell-Robin boundary conditions; positive contraction semigroups;

D O I：

10.1007/s00233-002-0010-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the Laplacian Delta on a smooth bounded open set Omega subset of R-n with Wentzell-Robin boundary condition betau + partial derivativeu/partial derivativev + Deltau = 0 on the boundary Gamma. Under the assumption beta is an element of C(Gamma) with beta greater than or equal to 0, we prove that Delta generates a differentiable positive contraction semigroup on C(Omega) and study some monotonicity properties and the asymptotic behaviour.

引用

页码：247 / 261

页数：15

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