References
- Aronsson , G. , Evans , L. C. , Wu , Y. ( 1996 ). Fast/slow diffusion and growing sandpiles . J. Differential Equations 131 : 304 – 335 .
- Barbu , V. ( 1993 ). Analysis and Control of Nonlinear Infinite Dimensional Systems . Mathematics in Sciences and Engineering . San Diego , CA : Academic Press Inc .
- Bouchaud , J. P. , Cates , M. E. , Ravi Prakash , J. , Edwards , S. F. ( 1994 ). A model for the dynamics of sandpile surfaces . J. Phys. I France 4 : 1383 – 1410 .
- Boutreux , T. , de Gennes , P.-G . ( 1996 ). Surface flows of granular mixtures. I. General principles and minimal model . J. Phys. I France 6 : 1295 – 1304 .
- Cannarsa , P. , Cardaliaguet , P. ( 2004 ). Representation of equilibrium solutions to the table problem for growing sandpile . J. Eur. Math. Soc. 6 : 1 – 30 .
- Cannarsa , P. , Cardaliaguet , P. , Crasta , G. , Giorgieri , E. ( 2005 ). A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications . Calc. Var. 24 : 431 – 457 .
- Cannarsa , P. , Sinestrari , C. ( 2004 ). Semiconcave Functions, Hamilton–Jacobi Equations, and Optimal Control . Boston : Birkhäuser .
- Crasta , G. , Finzi Vita , S. ( 2008 ). An existence result for the sandpile problem on at tables with walls . Netw. Heterog. Media 3 : 815 – 830 .
- Crasta , G. , Malusa , A. ( 2007 ). The distance function from the boundary in a Minkowski space . Trans. Amer. Math. Soc. 359 : 5725 – 5759 .
- Crasta , G. , Malusa , A. ( 2007 ). A sharp uniqueness result for a class of variational problems solved by a distance function . J. Differential Equations 243 : 427 – 447 .
- De Pascale , L. , Evans , L. C. , Pratelli , A. ( 2004 ). Integral estimates for transport densities . Bull. London Math. Soc. 36: 383 – 395 .
- Evans , L. C. , Gariepy , R. F. (1992). Measure Theory and Fine Properties of Functions . Studies in Advanced Mathematics. Boca Raton , FL : CRC Press.
- Evans , L. C. , Feldman , M. , Gariepy , R. F. ( 1997 ). Fast/slow diffusion and collapsing sandpiles . J. Differential Equations 137 : 166 – 209 .
- Feldman , M. ( 1999 ). Variational evolution problems and nonlocal geometric motion . Arch. Ration. Mech. Anal. 146: 221 – 274 .
- Gilbarg , D. , Trudinger , N. S. ( 1983 ). Elliptic Partial Differential Equations of Second Order . Grundlehren der Mathematischen Wissenschaften 224 . Berlin : Springer-Verlag .
- Hadeler , K. P. , Kuttler , C. ( 1999 ). Dynamical models for granular matter . Granular Matter 2 : 9 – 18 .
- Prigozhin , L. ( 1996 ). Variational model of sandpile growth . Euro. J. Appl. Math. 7: 225 – 235 .