Generation of analytic semigroups with generalized Wentzell boundary condition

被引：2

作者：

Colombo, Fabrizio ^{[1
]}

Favini, Angelo ^{[2
]}

Obrecht, Enrico ^{[2
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Bologna, Dipartimento Matemat, I-40126 Bologna, Italy

来源：

SEMIGROUP FORUM | 2015年 / 90卷 / 03期

关键词：

Analytic semigroups; Generation of semigroups; Wentzell boundary conditions; EQUATIONS;

D O I：

10.1007/s00233-014-9633-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study second order ordinary and partial differential equations with generalized Wentzell boundary condition. We prove, by a perturbation method, that certain second order ordinary differential operators generate an analytic semigroup in and the same result has been extended for the degenerate operator . Finally, we prove that certain linear partial differential operators of the second order generate analytic semigroups in the space of continuous functions.

引用

页码：615 / 631

页数：17

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