Limit theorems for semigroups with perturbed generators, with applications to multiscaled random evolutions
From MaRDI portal
Publication:1244502
DOI10.1016/0022-1236(78)90028-9zbMath0372.47021OpenAlexW2037222454MaRDI QIDQ1244502
Publication date: 1978
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(78)90028-9
Central limit and other weak theorems (60F05) Singular perturbations in context of PDEs (35B25) Heat equation (35K05) Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) Stochastic analysis (60H99)
Related Items (8)
The birth of random evolutions ⋮ Differential equations in a Banach space ⋮ Central limit theorems for random evolutions ⋮ Switching processes: Averaging principle, diffusion approximation and applications ⋮ Erratum: Hilbert space representations of general discrete time stochastic processes ⋮ Random dynamical systems with jumps ⋮ A semigroup perturbation theorem with application to a singular perturbation problem in nonlinear ordinary differential equations ⋮ Random evolutions with underlying semi-Markov processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random evolutions with underlying semi-Markov processes
- Semigroups of linear operators and applications to partial differential equations
- Semigroups of conditioned shifts and approximation of Markov processes
- A semigroup perturbation theorem with application to a singular perturbation problem in nonlinear ordinary differential equations
- Random evolutions: A survey of results and problems
- An initial value problem for a class of higher order partial differential equations related to the heat equation
- Contraction semi-groups in a function space
- On systems of ordinary differential equations with several parameters multiplying the derivatives
- Extensions of Trotter's operator semigroup approximation theorems
- Multiplicative perturbation of semigroup generators
- A limit theorem for perturbed operator semigroups with applications to random evolutions
- Perturbations de générateurs infinitésimaux du type changement de temps
- Markovian systems of measures on function spaces
- An extension of certain quasi-measure
- RANDOM EVOLUTIONS, MARKOV CHAINS, AND SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS
- DIRECT SOLUTION OF GENERAL ONE-DIMENSIONAL LINEAR PARABOLIC EQUATION VIA AN ABSTRACT PLANCHEREL FORMULA
- A Perturbation Series for Cauchy's Problem for Higher-Order Abstract Parabolic Equations
- Non‐commuting random evolutions, and an operator‐valued Feynman‐Kac formula
- Perturbed Semigroup Limit Theorems with Applications to Discontinuous Random Evolutions
This page was built for publication: Limit theorems for semigroups with perturbed generators, with applications to multiscaled random evolutions