Desch-Schappacher perturbation of one-parameter semigroups on locally convex spaces

被引：8

作者：

Jacob, Birgit ^{[1
]}

Wegner, Sven-Ake ^{[1
]}

Wintermayr, Jens ^{[1
]}

机构：

[1] Berg Univ Wuppertal, FB C Math, D-42119 Wuppertal, Germany

来源：

MATHEMATISCHE NACHRICHTEN | 2015年 / 288卷 / 8-9期

关键词：

Strongly continuous semigroup; Desch-Schappacher perturbation; locally convex space; 46A04; 47D06; 34G10;

D O I：

10.1002/mana.201400116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Desch-Schappacher type perturbation theorem for strongly continuous and locally equicontinuous one-parameter semigroups which are defined on a sequentially complete locally convex space.

引用

页码：925 / 934

页数：10

共 20 条

[11] Farago I., 1981, OPERATOR SPLITTINGS
[12] Jarchow H., 1981, LOCALLY CONVEX SPACE
[13] KoMURA T., 1968, J. Funct. Anal, V2, P258
[14] Meise R., 1997, INTRO FUNCTIONAL ANA
[15] Miyadera I., 1966, TOHOKU MATH J 2 SERI, V18, P299
[16] Miyadera I., 1959, Tohoku Math. J., V11, P162
[17] Pazy A., 2012, Semigroups of Linear Operators and Applications to Partial Differential Equations, DOI DOI 10.1007/978-1-4612-5561-1
[18] Tucsnak M, 2009, BIRKHAUSER ADV TEXTS, P1
[19] PERTURBATION-THEORY FOR STRONGLY CONTINUOUS SEMIGROUPS
VOIGT, J
[J]. MATHEMATISCHE ANNALEN, 1977, 229 (02) : 163 - 171
[20] Wegner S.-A., 2014, ANN U FERRARA, V60, P441

← 1 2 →