Results 11 to 20 of about 272,809 (292)
Finite Difference Approximation of Free Discontinuity Problems [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1999 We approximate functionals depending on the gradient of $u$ and on the behaviour of $u$ near the discontinuity points, by families of non-local functionals where the gradient is replaced by finite differences.
Gobbino, Massimo, Mora, Maria Giovanna
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Regularity properties of free discontinuity sets [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2001 This paper is concerned with the problem of estimating the dimension, expected to be N−2 , of the singular set of a minimizer of a functional with free discontinuities in N dimensions. The best result already known, namely the
Maddalena, Francesco, Solimini, Sergio
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Γ-convergence of free-discontinuity problems [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2019 We study the Γ-convergence of sequences of free-discontinuity functionals depending on vector-valued functions u which can be discontinuous across hypersurfaces whose shape and location are not known a priori. The main novelty of our result is that we work under very general assumptions on the integrands which, in
Filippo Cagnetti +3 more
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Discontinuities of free theories on AdS2
Journal of High Energy Physics, 2023 AbstractThe partition functions of free bosons as well as fermions onAdS2are not smooth as a function of their masses. For free bosons, the partition function onAdS2is not smooth when the mass saturates the Breitenlohner-Freedman bound. We show that the expectation value of the scalar bilinear onAdS2exhibits a kink at the BF bound and the change in ...
David, Justin +3 more
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Free Discontinuities in Optimal Transport [PDF]
Archive for Rational Mechanics and Analysis, 2019 We prove a nonsmooth implicit function theorem applicable to the zero set of the difference of convex functions. This theorem is explicit and global: it gives a formula representing this zero set as a difference of convex functions which holds throughout the entire domain of the original functions.
Jun Kitagawa, Robert McCann
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Iterative Thresholding Meets Free-Discontinuity Problems [PDF]
Foundations of Computational Mathematics, 2010 Free-discontinuity problems describe situations where the solution of interest is defined by a function and a lower dimensional set consisting of the discontinuities of the function. Hence, the derivative of the solution is assumed to be a `small' function almost everywhere except on sets where it concentrates as a singular measure.
Fornasier, Massimo, Ward, Rachel
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Stochastic Homogenisation of Free-Discontinuity Problems [PDF]
Archive for Rational Mechanics and Analysis, 2019 23 ...
Cagnetti, F. +3 more
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Female education and maternal health care utilization: evidence from Uganda
Reproductive Health, 2022 Plain Language summary Maternal health care (MHC) utilization is one of the Millennium Development Goals (SDG) of pursuit. Globally, most low-income countries like Uganda contribute greatly to pregnancy-related mortalities that are largely preventable ...
David Amwonya +2 more
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Influence of Spatio-Temporal Couplings on Focused Optical Vortices
Photonics, 2022 Ultra-intense laser pulses with helical phases are of interest in laser-driven charged particle acceleration and related experiments with extreme light. However, such optical vortices can be affected by the presence of residual spatial-temporal couplings.
Anda-Maria Talposi +2 more
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Relaxation of free-discontinuity energies with obstacles [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2008 Summary: Given a Borel function \(\psi\) defined on a bounded open set \(\Omega\) with Lipschitz boundary and \(\varphi\in L^1(\partial\Omega,{\mathcal H}^{n-1})\), we prove an explicit representation formula for the \(L^{1}\) lower semicontinuous envelope of Mumford-Shah type functionals with the obstacle constraint \(u^+\geq\psi{\mathcal H}^{n-1}\) a.
FOCARDI, MATTEO, M. S. Gelli
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