APPROXIMATION BY POSITIVE OPERATORS OF THE C0–SEMIGROUPS ASSOCIATED WITH ONE-DIMENSIONAL DIFFUSION EQUATIONS: PART II

DOI10.1081/NFA-200051623zbMath1065.41035OpenAlexW4250759860MaRDI QIDQ4678775

Rachida Amiar, Francesco Altomare

Publication date: 23 May 2005

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-200051623

zbMATH Keywords

diffusion equationapproximation by positive operatorsweighted function spacepositive \(C_0\)-semigroupdegenerate differential operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Theoretical approximation of solutions to ordinary differential equations (34A45) Approximation by positive operators (41A36)

Related Items (6)

Degenerate elliptic operators, Feller semigroups and modified Bernstein‐Schnabl operators ⋮ Complete asymptotic expansions for Altomare operators ⋮ Gamma-type operators and the Black-Scholes semigroup ⋮ Voronovskaya Type Theorems in Weighted Spaces ⋮ Shape-preserving properties and asymptotic behaviour of the semigroup generated by the Black-Scholes operator ⋮ Cores for generators of \(C_0\)-semigroups satisfying the Feller property

Cites Work

• Approximation of semi-groups of operators
• Semigroups of linear operators and applications to partial differential equations
• Generalized Bernstein-Durrmeyer operators and the associated limit semigroup
• Evolution equations associated with recursively defined Bernstein-type operators
• On some degenerate differential operators on weighted function spaces
• Degenerate evolution equations in weighted continuous function spaces, Markov processes and the Black--Scholes equation. II.
• Lototsky-Schnabl operators on the unit interval
• Differential operators with second-order degeneracy and positive approximation processes.
• APPROXIMATION BY POSITIVE OPERATORS OF THE C₀–SEMIGROUPS ASSOCIATED WITH ONE-DIMENSIONAL DIFFUSION EQUATIONS: PART I
• On a class of elliptic-parabolic equations on unbounded intervals

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