Name
Abstract | ||
|---|---|---|
The paper is mainly focused upon the study of a class of second order degenerate elliptic operators on unbounded intervals.We show that these operators generate strongly continuous semigroups in suitable weighted spaces of continuous functions.Furthermore, we represent the semigroups as limits of iterates of the so-called exponential-type operators.In a particular case, starting from the stochastic differential equations associated with these operators, we also find an integral representation of the semigroup and determine its asymptotic behaviour. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.jat.2005.05.006 | Journal of Approximation Theory |
Keywords | Field | DocType |
limit semigroups,stochastic differential,suitable weighted space,so-called exponential-type operator,particular case,continuous function,elliptic operator,asymptotic behaviour,continuous semigroups,unbounded interval,integral representation,second order,stochastic differential equation | Fourier integral operator,Mathematical analysis,Elliptic operator,Constant coefficients,Operator (computer programming),Special classes of semigroups,Semigroup,Operator theory,Mathematics,Microlocal analysis | Journal |
Volume | Issue | ISSN |
135 | 2 | 0021-9045 |
Citations | PageRank | References |
1 | 0.52 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Francesco Altomare | 1 | 1 | 0.86 |
| Ioan Rasa | 2 | 15 | 8.99 |