Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes
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Título
Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemesFecha de publicación
2020Editor
American Institute of Mathematical SciencesCita bibliográfica
LIZAMA, Carlos; MURILLO-ARCILA, Marina (2020). Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes. Discrete and Continous Dynamical Systems, v. 40, n. 1, p. 50-528Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.aimsciences.org/article/doi/10.3934/dcds.2020020Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
In this paper we investigate conditions for maximal regularity of Volterra equations defined on the Lebesgue space of sequences ‘p(Z) by using Bl¨unck’s theorem on the
equivalence between operator-valued ‘p-multipliers ... [+]
In this paper we investigate conditions for maximal regularity of Volterra equations defined on the Lebesgue space of sequences ‘p(Z) by using Bl¨unck’s theorem on the
equivalence between operator-valued ‘p-multipliers and the notion of R-boundedness. We
show sufficient conditions for maximal ‘
p −‘q regularity of solutions of such problems solely
in terms of the data. We also explain the significance of kernel sequences in the theory of
viscoelasticity, establishing a new and surprising connection with schemes of approximation
of fractional models. [-]
Publicado en
Discrete and continous dynamical systems (2020), v. 40, n. 1Proyecto de investigación
1) FONDECYT grant number 1180041; 2) MEC, grant MTM2016-75963-P; 3) GVA/2018/110. 1Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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