Laura Caravenna

L. Caravenna

Professoressa Associata
Dipartimento di Matematica
Università degli Studi di Padova

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Pubblicazioni

  1. An entropy based Glimm-type functional, J. Hyperbolic Differ. Equ., 5(3):643--662, 2008 pdf — link
  2. On the extremality, uniqueness and optimality of transference plans, in collaborazione con S. Bianchini, Bull. Inst. Math. Acad. Sin. (N.S.), 4(4):353--455, 2009 open access — pdf
  3. On optimality of c-cyclically monotone transference plans, in collaborazione con S. Bianchini, C. R. Math. Acad. Sci. Paris, 348(11-12):613--618, 2010 pdf — link
  4. The disintegration of the Lebesgue measure on the faces of a convex function, in collaborazione con S. Daneri, J. Funct. Anal., 258(11):3604--3661, 2010 pdf — link
  5. A proof of Sudakov theorem with strictly convex norms, Math. Z., 268(1-2):371--407, 2011 pdf — link
  6. A proof of Monge problem in ℝⁿ by stability, Rend. Istit. Mat. Univ. Trieste, 43:31-52, 2011 open access — pdf — link
  7. SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension, in collaborazione con S. Bianchini, Comm. Math. Phys., 313(1):1--33, 2012 arXiv:1111.6246 — pdf — link
  8. SBV Regularity Results for Solutions to 1D Conservation Laws, Hyperbolic conservation laws and related analysis, Springer Proc. Math. Stat., 49, Heidelberg, 2014 pdf — link
  9. Reduction on characteristics for continuous solution of a scalar balance law, in collaborazione con G. Alberti e S. Bianchini, Hyperbolic Problems: Theory, Numerics, Applications, AIMS Ser. Appl. Math., 8:399--406, 2014 open access — pdf — link
  10. Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation, in collaborazione con F. Bigolin & F. Serra Cassano, Ann. Inst. H. Poincaré Anal. Non Linéaire, 32(5):925--963, 2015 arXiv:1202.3083 — pdf — link
  11. A counter-example concerning regularity properties for systems of conservation laws, breve comunicazione in collaborazione con L. V. Spinolo, PAMM, 15:625--626, 2015 open access — pdf — link
  12. A note on regularity and failure of regularity for systems of conservation laws via Lagrangian formulation, Bull. Braz. Math. Soc. (N.S.), 47(1):211--225, 2016 arXiv:1505.00531 — pdf — link
  13. New interaction estimates for the Baiti-Jenssen system, in collaborazione con L. V. Spinolo, Netw. Heterog. Media, 11(2):263--280, 2016 arXiv:1505.00460 — pdf — link
  14. Eulerian, Lagrangian and Broad continuous solutions to a balance law with non convex flux I, in collaborazione con G. Alberti, S. Bianchini, J. Differential Equations, 261(8):4298--4337, 2016 con audio-slides — arXiv:1512.04863 — pdf — link
  15. Uniqueness & Lagrangianity for solutions with lack of integrability of the continuity equation, in collaborazione con G. Crippa, C. R. Math. Acad. Sci. Paris, 354(12):1168-1173, 2016 arXiv:1608.04324 — pdf — link
  16. Schaeffer's regularity theorem for scalar conservation laws does not extend to systems, in collaborazione con Laura V. Spinolo, Indiana Univ. Math. J., 66(1):101-160, 2017 arXiv:1505.00609 — pdf — link
  17. Regularity estimates for continuous solutions of α-convex balance laws, Commun. Pure Appl. Anal., 16(2):629-644, 2017 open access — pdf — link
  18. On the Structure of BV entropy solutions for hyp. systems of balance laws with general flux function, collaborazione con F. Ancona, A. Marson, J. Hyperbolic Differ. Equ., 16(2):333--378, 2019 arXiv:1803.01889 — pdf — link
  19. On L¹-stability of BV solutions for a model of granular flow, collaborazione con F. Ancona e C. Christoforou, AIMS series on Applied Mathematics, 10:239--247, 2020 open access — link
  20. A Directional Lipschitz Extension Lemma, with Applications to Uniqueness and Lagrangianity for the Continuity Equation, collaborazione con G. Crippa, Comm. in PDE, 46(8):1488--1520, 2021 arXiv:1812.06817 — arXiv — link
  21. On the Lebesgue measure of the boundary of the evoluted set, collaborazione con F. Boarotto, F. Rossi, D. Vittone, Systems & Control Letters, 158, 2021 arXiv:2107.06739 — arXiv — link
  22. SBV-like Regularity of Entropy Solutions for a Scalar Balance Law, collaborazione con F Ancona e A. Marson, Communications in Mathematical Analysis and Applications, 3(3):425--449, 2024 arXiv:2409.06095 — arXiv — link
  23. Eulerian, Lagrangian and broad continuous solutions to a balance law with nonconvex flux II, collaborazione con G. Alberti e S. Bianchini, Journal of Hyperbolic Differential Equations, 21(03):621--657, 2024 arXiv:2401.03544 — arXiv — link
  24. Hölder regularity of continuous solutions to balance laws and applications in the Heisenberg group, collaborazione con E. Marconi, A. Pinamonti, SIAM Journal on Mathematical Analysis, 57(1):979--995, 2025 arXiv:2311.14518 — arXiv — link
  25. SBV regularity of Entropy Solutions for Hyperbolic Systems of Balance Laws with General Flux function, collaborazione con F. Ancona e A. Marson, Nonlinear Differ. Equ. Appl., 32:73 (59 pagine) 2025 arXiv:2409.06087 — arXiv — link
  26. On the regularity of continuous solutions to multidimensional scalar conservation laws with L∞ source, collaborazione con F. Ancona, A. Cliffe e E. Marconi, Bull. Inst. Math. Acad. Sin. (N.S.), accettato 2025 arXiv:2409.06087 — arXiv

Unpublished

  1. Consensus in Multiagent Systems with lack of connection, collaborazione con M. Bentaibi, J.-P. A. Gauthier, F. Rossi, preprint inviato a rivista arXiv:2410.10486, 2024 — arXiv
  2. Exponential Stability of Large BV Solutions in a Model of Granular flow, collaborazione con F. Ancona, C. Christoforou, preprint arXiv:2205.06174, 2022 — arXiv
  3. An existence result for the Monge problem in ℝⁿ with norm cost functions, preprint cvgmt cvgmt, 2009

Editrice dei seguenti numeri speciali:

Laura Caravenna senza sfondo

Laura Caravenna

Dipartimento di Matematica
Università degli Studi di Padova

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