A class of semigroups regularized in space and time (Q2581481)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of semigroups regularized in space and time |
scientific article |
Statements
A class of semigroups regularized in space and time (English)
0 references
10 January 2006
0 references
The authors consider \(\alpha\)-times integrated \(C\)-regularized semigroups (\(C\)-regularized semigroups in space and integrated semigroups in time). In absence of exponential boundedness, they prove an equivalence theorem between existence of integrated regularized semigroups and well-posedness of certain Cauchy-problems. Exponentially bounded \(\alpha\)-times integrated \(C\)-regularized semigroups are studied using the Laplace transform.
0 references
integrated \(C\)-semigroups
0 references
generators
0 references
abstract Cauchy problem
0 references
fractional calculus
0 references
