Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes

DOI10.3934/dcds.2020020zbMath1467.45003OpenAlexW2980797532MaRDI QIDQ2281581

Marina Murillo-Arcila, Carlos Lizama

Publication date: 3 January 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020020

zbMATH Keywords

maximal regularitytime-stepping schemesdiscrete Volterra equationsnonlocal operators

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Linear operator approximation theory (47A58) Discrete version of topics in analysis (39A12) Multipliers in one variable harmonic analysis (42A45) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (6)

Maximal regularity for time-stepping schemes arising from convolution quadrature of non-local in time equations ⋮ Qualitative properties of nonlocal discrete operators ⋮ Time discretization of fractional subdiffusion equations via fractional resolvent operators ⋮ Unnamed Item ⋮ Nonlocal operators are chaotic ⋮ Discrete subdiffusion equations with memory

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