Variability of paths and differential equations with \(\mathrm{BV}\)-coefficients

DOI10.1214/22-aihp1308arXiv2003.11698OpenAlexW3013031649MaRDI QIDQ6147699

Jonas M. Tölle, Michael Hinz, Lauri Viitasaari

Publication date: 16 January 2024

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11698

zbMATH Keywords

differential equationsfunctions of bounded variationRiesz potentialgeneralized Lebesgue-Stieltjes integralsHölder path

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

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