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Lossless analog compression. IEEE Trans. Inform. Theory. 65(11):7480-7513. Lossless_compression_2.pdf (1.04 MB). 2019.
Lossless linear analog compression. 2016 IEEE International Symposium on Information Theory (ISIT). :2789-2793. Lossless_compression_1.pdf (482.81 KB). 2016.
Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik. Nonuniqueness_Euler_v2.pdf (905.52 KB). 2021.
A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations.. Journal of Hyperbolic Differential Equations. 1:813–826. laxsbv11.pdf (195.04 KB). 2004.
Partial regularity for mass-minimizing currents in Hilbert spaces.. Journal für die Reine und Angewandte Mathematik. 2018:99–144. Hilbert_regularity.pdf (578.92 KB). 2018.
On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems.. Perspectives in nonlinear partial differential equations. 446:31–67. chain100.pdf (364.46 KB). 2007.
Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions.. International Mathematics Research Notices. :2205–2220. esistenza10.pdf (235.06 KB). 2003.
Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions.. Communications in Partial Differential Equations. 29:1635–1651. KK_CPDE.pdf (223.35 KB) Errata_KK.pdf (81.82 KB). 2004.
Line energies for gradient vector fields in the plane. Calculus of Variations and Partial Differential Equations. 9:327–255. ADM.pdf (261.08 KB). 1999.
Le Olimpiadi della Matematica. Seconda Edizione. Zanichelli.. 2002.
SBV Regularity for Hamilton-Jacobi Equations in R^n. Archiv for Rational Mechanics and Analysis. 200:1003–1021. Ham_SBV.pdf (261.79 KB) Errata_SBV_Hm.pdf (63.89 KB). 2011.
Weak-strong uniqueness for measure-valued Solutions. Communications in Mathematical Physics. 305:351–361. mvsolutions_published.pdf (189.61 KB) errata_mvsolutions.pdf (75.43 KB). 2011.
Existence of optimal strategies for a fire confinement problem.. Communications on Pure and Applied Mathematics. 62:789–830. FireCPAM.pdf (364.62 KB). 2009.
Onsager critical solutions of the forced Navier-Stokes equations. anomalous_dissipation6.pdf (490.38 KB). 0.
Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Arch. Ration. Mech. Anal. . 240(2):1055-1090. nonunique-flow-20.pdf (398.69 KB). 2021.
Anomalous Dissipation for the forced Navier-Stokes equations. anomalous-dissipation-arXiv-version.pdf (325.73 KB). 0.
Dissipative Euler flows with Onsager-critical spatial regularity. Comm. Pure Appl. Math. . 69(2):229-274. L1_onethird_65.pdf (525.74 KB). 2016.
Anomalous dissipation for 1/5-Hoelder Euler flows. Annals of Mathematics. Second Series. 128:127–172. onefifth_75.pdf (631.1 KB) Errata_onefifth.pdf (78.93 KB). 2015.
Onsager's conjecture for admissible weak solutions. Communications on Pure and Applied Mathematics. 72:229–274. Onsager101.pdf (528.14 KB) Errata-Onsager.pdf (90.35 KB). 2019.
Min-max embedded geodesic lines on asymptotically conical surfaces. J. Differential Geom.. 112(3):411-445. Geodesic_lines.pdf (600.18 KB). 2019.
Surprising solutions to the isentropic Euler system of gas dynamics. DeLellis_hyp12_4.pdf (356.85 KB). 0.
Global ill-posedness of the isentropic system of gas dynamics. Communications on Pure and Applied Mathematics. 68:1157–1190. Riemann_15.pdf (393.84 KB). 2015.