Found 92 results[ Author] Title Type Year
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Notes on hyperbolic systems of conservation laws and transport equations.. Handbook of Differential Equations: Evolutionary Equations, Volume 3 . hde51.pdf (749.93 KB) Errata_HDE.pdf (111.37 KB). 2017.
On admissibility criteria for weak solutions of the Euler equations.. Archiv for Rational Mechanics and Analysis. 195:225–260. EulerARMA.pdf (413.39 KB) Errata_Euler_ARMA.pdf (32.46 KB). 2010.
Fine structure of the singular set of area minimizing hypersurfaces modulo $p$. Even-p-Structure.pdf (547.96 KB). 2022.
A quantitative compactness estimate for scalar conservation laws.. Communications on Pure and Applied Mathematics. 58:989–998. Fran_CPAM.pdf (101.52 KB). 2005.
Regularity of area-minimizing currents II: center manifold. Annals of Mathematics. Second Series. 183:499–575. cm_R_revised_22.pdf (672.32 KB). 2016.
Dissipative continuous Euler flows. Inventiones Mathematicae. 193:377–407. continuous_new12.pdf (374.68 KB). 2013.
The chain rule for the divergence of BV-like vector fields.. Hyperbolic Problems: Theory Numerics and Applications -I-. :105–112. ProcHyp04.PDF (312.52 KB). 2006.
Boundary regularity of mass-minimizing integral currents and a question of Almgren. Matrix Annals 2017. :193-205. matrix_14.pdf (152.76 KB). 2018.
Lower semicontinuous functionals for Almgren's multiple valued functions. Annales Academiae Scientiarum Fennicae. Mathematica. 36:393–410. DL_Fo_Sp.pdf (544.99 KB). 2011.
Continuous dissipative Euler flows and a conjecture of Onsager.. European Congress of Mathematics. de_lellis_proc_ECM_4.pdf (382.6 KB) Errata_proc_ECM.pdf (36.71 KB). 2013.
Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem. Modp_odd_moduli.pdf (867.85 KB). 2021.
A $C^0$ estimate for nearly umbilical surfaces.. Calculus of Variations and Partial Differential Equations. 26:283–296. UmbC0.pdf (319.23 KB) Errata-umbilical-2.pdf (95.55 KB). 2006.
Q-valued functions revisited. Memoirs of the American Mathematical Society. 211:1–85. memoDeSp.pdf (1.17 MB) Errata_memo.pdf (228.44 KB). 2011.
An example in the gradient theory of phase transitions.. ESAIM: Control, Optimisation and Calculus of Variations. 7:285–289(electronic). COCV.pdf (117.75 KB). 2002.
Simple proof of two-well rigidity.. Comptes Rendus Mathematique. 343:367–370. 2Wells_CRAS.pdf (113.36 KB). 2006.
High dimensionality and h-principle in PDE. Bulletin (new series) of the American Mathematical Society. 54:247–282. Nash_Bull_15.pdf (484.16 KB). 2017.
The rectifiability of entropy measures in one space dimension.. Journal de Mathematiques Pures et Appliquees. 82:1343–1367. Tri_JMPA.pdf (222.23 KB) Errata_JMPA.pdf (116.41 KB). 2003.
The regularity of minimal surfaces in higher codimension. Current developments in mathematics 2014. :153-229. survey_CDM_24.pdf (630.06 KB). 2016.
Transport equation with integral terms. Calc. Var. Partial Differential Equations. 55(5):Art.128pp.17. DGS_05_03.pdf (347.31 KB). 2016.
ODEs with Sobolev coefficients: the Eulerian and the Lagrangian approach.. Discrete and Continuous Dynamical Systems. Series S. 1:405–426. Eul_vs_Lag.pdf (277.64 KB). 2008.
An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity. convex-boundary-1.pdf (972.75 KB). 2021.
A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah functional. Advances in Calculus of Variations. 7:539–545. StimaSing20130417.pdf (273.62 KB). 2014.