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This article has an erratum: [https://doi.org/10.1051/cocv:2007019]


Issue
ESAIM: COCV
Volume 10, Number 3, July 2004
Page(s) 426 - 451
DOI https://doi.org/10.1051/cocv:2004014
Published online 15 June 2004
  1. G. Alberti, On the structure of singular sets of convex functions. Calc. Var. Partial Differ. Equ. 2 (1994) 17-27. [CrossRef] [Google Scholar]
  2. A. Ambrosetti and G. Prodi, A primer of nonlinear analysis. Cambridge University Press, Cambridge (1993). [Google Scholar]
  3. L. Ambrosio, P. Cannarsa and H.M. Soner, On the propagation of singularities of semi-convex functions. Ann. Scuola. Norm. Sup. Pisa XX (1993) 597-616. [Google Scholar]
  4. P. Cannarsa, A. Mennucci and C. Sinestrari, Regularity results for solutions of a class of Hamilton-Jacobi equations. Arch. Ration. Mech. Anal. 140 (1997) 197-223 (or, preprint 13-95 Dip. Mat. Univ Tor Vergata, Roma). [CrossRef] [MathSciNet] [Google Scholar]
  5. R. Courant and D. Hilbert, Methods of Mathematical Physics, volume II. Interscience, New York (1963). [Google Scholar]
  6. T. Djaferis and I. Schick, Eds., Advances in System Theory. Kluwer Academic Publishers Boston, October (1999). [Google Scholar]
  7. L.C. Evans, Partial Differential Equations. A.M.S. Grad. Stud. Math. 19 (2002). [Google Scholar]
  8. H. Federer, Geometric measure theory. Springer-Verlag, Berlin (1969). [Google Scholar]
  9. W.H. Fleming and H.M. Soner, Controlled Markov processes and viscosity solutions. Springer-Verlag, Berlin (1993). [Google Scholar]
  10. P. Hartman, Ordinary Differential Equations. Wiley, New York (1964). [Google Scholar]
  11. J. Itoh and M. Tanaka, The Lipschitz continuity of the distance function to the cut locus. Trans. Amer. Math. Soc. 353 (2000) 21-40. [CrossRef] [MathSciNet] [Google Scholar]
  12. S.N. Kružhkov, The cauchy problem in the large for certain non-linear first order differential equations. Soviet Math. Dockl. 1 (1960) 474-475. [Google Scholar]
  13. Yan yan Li and L. Nirenberg, The distance function to the boundary, finsler geometry and the singular set of viscosity solutions of some Hamilton-Jacobi equations (2003) (preprint). [Google Scholar]
  14. P.L. Lions, Generalized Solutions of Hamilton-Jacobi Equations. Pitman, Boston (1982). [Google Scholar]
  15. C. Mantegazza and A.C. Mennucci, Hamilton-Jacobi equations and distance functions on Riemannian manifolds. Appl. Math. Optim. 47 (2003) 1-25. [CrossRef] [MathSciNet] [Google Scholar]
  16. D. McDuff and D. Salomon, Introduction to Symplectic Topology. Oxford Mathematical Monograph, Oxford University Press, Clarendon Press, Oxford (1995). [Google Scholar]
  17. A.C.G. Mennucci, Regularity and variationality of solutions to Hamilton-Jacobi equations. Part ii: variationality, existence, uniqueness (in preparation). [Google Scholar]
  18. C. Sinestrari and P. Cannarsa, Semiconcave functions, Hamilton-Jacobi equations and optimal control problems, in Progress in Nonlinear Differential Equations and Their Applications, Vol. 58, Birkhauser Boston (2004). [Google Scholar]
  19. G.J. Galloway, P.T. Chruściel, J.H.G. Fu and R. Howard, On fine differentiability properties of horizons and applications to Riemannian geometry (to appear). [Google Scholar]
  20. C. Pignotti, Rectifiability results for singular and conjugate points of optimal exit time problems. J. Math. Anal. Appl. 270 (2002) 681-708. [CrossRef] [MathSciNet] [Google Scholar]
  21. L. Simon, Lectures on Geometric Measure Theory, Vol. 3 of Proc. Center for Mathematical Analysis. Australian National University, Canberra (1983). [Google Scholar]
  22. Y. Yomdin, β-spreads of sets in metric spaces and critical values of smooth functions. [Google Scholar]
  23. Y. Yomdin, The geometry of critical and near-critical values of differential mappings. Math. Ann. 4 (1983) 495-515. [CrossRef] [Google Scholar]
  24. Y. Yomdin, Metric properties of semialgebraic sets and mappings and their applications in smooth analysis, in Géométrie algébrique et applications, III (la Rábida, 1984), Herman, Paris (1987) 165-183. [Google Scholar]

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