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- W3176771146 abstract "Motivated by the formula, due to Bourgain, Brezis and Mironescu, [Formula: see text] that characterizes the functions in [Formula: see text] that belong to [Formula: see text] (for [Formula: see text]) and [Formula: see text] (for [Formula: see text]), respectively, we study what happens when one replaces the denominator in the expression above by [Formula: see text]. It turns out that for [Formula: see text] the corresponding functionals “see” only the jumps of the [Formula: see text] function. We further identify the function space relevant to the study of these functionals, the space [Formula: see text], as the Besov space [Formula: see text]. We show, among other things, that [Formula: see text] contains both the spaces [Formula: see text] and [Formula: see text]. We also present applications to the study of singular perturbation problems of Aviles–Giga type." @default.
- W3176771146 created "2021-07-05" @default.
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- W3176771146 date "2018-10-14" @default.
- W3176771146 modified "2023-10-03" @default.
- W3176771146 title "Jump detection in Besov spaces via a new BBM formula. Applications to Aviles–Giga-type functionals" @default.
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- W3176771146 doi "https://doi.org/10.1142/s0219199717500961" @default.
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