Multiplicative perturbations of the Laplacian and related approximation problems
DOI10.1007/s00028-011-0110-6zbMath1256.47024OpenAlexW2094477516MaRDI QIDQ409224
Graziana Musceo, Francesco Altomare, Sabina Milella
Publication date: 12 April 2012
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00028-011-0110-6
integral operatorLaplace operatorMarkov processweighted function spacesmultiplicative perturbationapproximation by positive operatorspositive semigroup
Continuous-time Markov processes on general state spaces (60J25) One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07) Approximation by positive operators (41A36) Transition functions, generators and resolvents (60J35)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximation of semi-groups of operators
- Rate of convergence in Trotter's approximation theorem
- On a sequence of integral operators on weighted \(L^p\) spaces
- The perturbed Laplace operator in a weighted \(L^ 2\)-space
- Korovkin-type approximation theory and its applications
- Degenerate evolution equations in weighted continuous function spaces, Markov processes and the Black--Scholes equation. I.
- Cores of second order differential linear operators with unbounded coefficients on \(\mathbb R^N\)
- On some degenerate parabolic problems
- Semi-groupes de Feller sur une variété à bord compacte et problèmes aux limites intégro-différentiels du second ordre donnant lieu au principe du maximum
- Perturbations de générateurs infinitésimaux du type changement de temps
- Dirichlet regularity and degenerate diffusion
- One-Parameter Semigroups for Linear Evolution Equations
- Regular vector lattices of continuous functions and Korovkin-type theorems–-Part II
- Regular vector lattices of continuous functions and Korovkin-type theorems–-Part I
