A class of semigroups regularized in space and time |
| |
Authors: | M. Bachar W. Desch |
| |
Affiliation: | a Institute for Mathematics and Scientific Computing, Heinrichstraße 36, 8010 Graz, Austria b Department of Mathematics, Sebelas Maret University, Jl. IR. Sutami 36A, Surakarta, Indonesia |
| |
Abstract: | We consider α-times integrated C-regularized semigroups, which are a hybrid between semigroups regularized in space (C-semigroups) and integrated semigroups regularized in time. We study the basic properties of these objects, also in absence of exponential boundedness. We discuss their generators and establish an equivalence theorem between existence of integrated regularized semigroups and well-posedness of certain Cauchy problems. We investigate the effect of smoothing regularized semigroups by fractional integration. |
| |
Keywords: | α-Times integrated C-regularized semigroups Generator Fractional integral Abstract Cauchy problem |
本文献已被 ScienceDirect 等数据库收录! |
|