Publications Peer reviewed articles (24) Relaxation for Partially Coercive Integral Functionals with Linear Growth Author(s): Filip Rindler, Giles Shaw Published in: SIAM Journal on Mathematical Analysis, Issue 52/5, 2020, Page(s) 4806-4860, ISSN 0036-1410 Publisher: Society for Industrial and Applied Mathematics DOI: 10.1137/18m1199460 Rectifiability of the jump set of locally integrable functions Author(s): Giacomo Del Nin Published in: Ann. Sc. Norm. Super. Pisa Cl. Sci., Issue 0391173X, 2021, Page(s) 1233–1240, ISSN 0391-173X Publisher: Stampacchia Guido DOI: 10.2422/2036-2145.202002_006 Fine properties of functions of bounded deformation -- an approach via linear PDEs Author(s): Guido De Philippis; Filip Rindler Published in: Mathematics in Engineering, Vol 2, Iss 3, Issue 9, 2020, Page(s) 386-422, ISSN 2640-3501 Publisher: AIMS Publishing DOI: 10.3934/mine.2020018/fulltext.html Critical $\mathrm {L}^p$-differentiability of $\mathrm {BV}^\mathbb {A}$-maps and canceling operators Author(s): Bogdan Raiţă Published in: Transactions of the American Mathematical Society, Issue 372/10, 2019, Page(s) 7297-7326, ISSN 0002-9947 Publisher: American Mathematical Society DOI: 10.1090/tran/7878 Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints Author(s): Adolfo Arroyo-Rabasa, Guido De Philippis, Filip Rindler Published in: Advances in Calculus of Variations, Issue 13/3, 2020, Page(s) 219-255, ISSN 1864-8258 Publisher: Walter de Gruyter GmbH & Co. KG DOI: 10.1515/acv-2017-0003 Decomposition of integral metric currents Author(s): Paolo Bonicatto; Giacomo Del Nin; Enrico Pasqualetto Published in: Journal of Functional Analysis, Issue 00221236, 2022, Page(s) 109378, ISSN 0022-1236 Publisher: Academic Press DOI: 10.1016/j.jfa.2021.109378 Concentration versus Oscillation Effects in Brittle Damage Author(s): Jean‐François Babadjian, Flaviana Iurlano, Filip Rindler Published in: Communications on Pure and Applied Mathematics, Issue Online First, 2020, ISSN 0010-3640 Publisher: John Wiley & Sons Inc. DOI: 10.1002/cpa.21953 Geometric criteria for C1,α$C^{1,\alpha }$‐rectifiability Author(s): Giacomo Del Nin; Kennedy Obinna Idu Published in: J. Lond. Math. Soc., Issue 00246107, 2022, Page(s) 445–468, ISSN 0024-6107 Publisher: Oxford University Press DOI: 10.1112/jlms.12520 An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint Author(s): Adolfo Arroyo-Rabasa Published in: Proceedings of the American Mathematical Society, Issue 148/1, 2020, Page(s) 273-282, ISSN 0002-9939 Publisher: American Mathematical Society DOI: 10.1090/proc/14732 A note on estimates for elliptic systems with L1 data Author(s): Bogdan Raita, Daniel Spector Published in: Comptes Rendus Mathematique, Issue 357/11-12, 2019, Page(s) 851-857, ISSN 1631-073X Publisher: Elsevier Masson DOI: 10.1016/j.crma.2019.11.007 On the advection-diffusion equation with rough coefficients: Weak solutions and vanishing viscosity Author(s): Paolo Bonicatto; Gennaro Ciampa; Gianluca Crippa Published in: Journal de Mathématiques Pures et Appliquées, Issue 00217824, 2022, Page(s) 204-224, ISSN 0021-7824 Publisher: Elsevier BV DOI: 10.1016/j.matpur.2022.09.005 Generalized Multiscale Young Measures Author(s): Adolfo Arroyo-Rabasa, Johannes Diermeier Published in: SIAM Journal on Mathematical Analysis, Issue 52/4, 2020, Page(s) 3252-3300, ISSN 0036-1410 Publisher: Society for Industrial and Applied Mathematics DOI: 10.1137/19m1238848 Continuity and canceling operators of order n on $${\mathbb {R}}^n$$ Author(s): Bogdan Raiță, Anna Skorobogatova Published in: Calculus of Variations and Partial Differential Equations, Issue 59/2, 2020, Page(s) Article no. 85, ISSN 0944-2669 Publisher: Springer Verlag DOI: 10.1007/s00526-020-01739-z On the relaxation of integral functionals depending on the symmetrized gradient Author(s): Kosiba, Kamil; Rindler, Filip Published in: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Issue Published online, 2020, ISSN 0308-2105 Publisher: The RSE Scotland Foundation DOI: 10.1017/prm.2020.22 Endpoint Fourier restriction and unrectifiability Author(s): Giacomo Del Nin; Andrea Merlo Published in: Proceedings of the American Mathematical Society, Issue 00029939, 2022, Page(s) 2137–2144, ISSN 0002-9939 Publisher: American Mathematical Society DOI: 10.48550/arxiv.2104.07482 Dimensional estimates and rectifiability for measures satisfying linear PDE constraints Author(s): Adolfo Arroyo-Rabasa, Guido De Philippis, Jonas Hirsch, Filip Rindler Published in: Geometric and Functional Analysis, Issue 29/3, 2019, Page(s) 639-658, ISSN 1016-443X Publisher: Birkhauser Verlag DOI: 10.1007/s00039-019-00497-1 Liftings, Young Measures, and Lower Semicontinuity Author(s): Filip Rindler, Giles Shaw Published in: Archive for Rational Mechanics and Analysis, Issue 232/3, 2019, Page(s) 1227-1328, ISSN 0003-9527 Publisher: Springer Verlag DOI: 10.1007/s00205-018-01343-8 On the two-state problem for general differential operators Author(s): Guido De Philippis, Luca Palmieri, Filip Rindler Published in: Nonlinear Analysis, Issue 177, 2018, Page(s) 387-396, ISSN 0362-546X Publisher: Pergamon Press Ltd. DOI: 10.1016/j.na.2018.03.015 Critical $\mathrm {L}^p$-differentiability of $\mathrm {BV}^\mathbb {A}$-maps and canceling operators Author(s): Bogdan Raiţă Published in: Transactions of the American Mathematical Society, 2019, Page(s) 1, ISSN 0002-9947 Publisher: American Mathematical Society DOI: 10.1090/tran/7878 Embeddings for A -weakly differentiable functions on domains Author(s): Franz Gmeineder, Bogdan Raiţă Published in: Journal of Functional Analysis, Issue 277/12, 2019, Page(s) 108278, ISSN 0022-1236 Publisher: Academic Press DOI: 10.1016/j.jfa.2019.108278 An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint Author(s): Adolfo Arroyo-Rabasa Published in: Proceedings of the American Mathematical Society, 2019, Page(s) 1, ISSN 0002-9939 Publisher: American Mathematical Society DOI: 10.1090/proc/14732 On the structure of divergence-free measures in R2 Author(s): Paolo Bonicatto; Nikolay A. Gusev Published in: Advances in Calculus of Variations, Issue 18648258, 2021, Page(s) 879-911, ISSN 1864-8258 Publisher: Walter de Gruyter GmbH & Co. KG DOI: 10.1515/acv-2020-0066 Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings Author(s): Del Nin, Giacomo; Petrache, Mircea Published in: Calculus of Variations and Partial Differential Equations, Issue 09442669, 2022, Page(s) Article number: 226, ISSN 0944-2669 Publisher: Springer Verlag DOI: 10.48550/arxiv.2101.11977 Elasto-plastic evolution of single crystals driven by dislocation flow Author(s): Thomas Hudson; Filip Rindler Published in: Mathematical Models and Methods in Applied Sciences, Issue 02182025, 2022, Page(s) 851-910, ISSN 0218-2025 Publisher: World Scientific Publishing Co DOI: 10.48550/arxiv.2109.08749 Conference proceedings (2) ON THE STRUCTURE OF MEASURES CONSTRAINED BY LINEAR PDES Author(s): GUIDO DE PHILIPPIS, FILIP RINDLER Published in: Proceedings of the International Congress of Mathematicians (ICM 2018), 2019, Page(s) 2215-2239, ISBN 978-981-327-288-0 Publisher: WORLD SCIENTIFIC DOI: 10.1142/9789813272880_0136 Model inference for Ordinary Differential Equations by parametric polynomial kernel regression Author(s): David Green; Filip Rindler Published in: 3rd International Conference on Uncertainty Quantification in Computational Sciences and Engineering, 2020, Page(s) 263-285 Publisher: www.eccomasproceedia.org DOI: 10.7712/120219.6340.18533 Searching for OpenAIRE data... 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