Regularized Resolvent of Sums of Commuting Operators |
| |
| Authors: | R Delaubenfels |
| |
| Institution: | (1) Scientia Research Institute, 22000 Jordan Run Road, Guysville, Ohio 45735, USA |
| |
| Abstract: | For B
1 and B
2 commuting linear operators on a Banach space such that B
1 generates a bounded strongly continuous semigroup and –B
2 generates an exponentially decaying strongly continuous holomorphic semigroup, it is shown that (B
1 – B
2)–1
B
2
–r
and (B
1 – B
2)–1(–B
1)–r
are bounded and everywhere defined, for any r > 0. Density of domains may also be removed. The results are applied to various abstract Cauchy problems. |
| |
| Keywords: | sums of operators regularized resolvent abstract Cauchy problems |
| 本文献已被 SpringerLink 等数据库收录！ |
|
