Ilmanen’s lemma on insertion of C 1 , 1 functions

A. Fathi; M. Zavidovique

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 124, page 203-219
  • ISSN: 0041-8994

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Fathi, A., and Zavidovique, M.. "Ilmanen’s lemma on insertion of C$^{1,1}$ functions." Rendiconti del Seminario Matematico della Università di Padova 124 (2010): 203-219. <http://eudml.org/doc/241686>.

@article{Fathi2010,
author = {Fathi, A., Zavidovique, M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {smoothness of lower convex envelops of coercive functions},
language = {eng},
pages = {203-219},
publisher = {Seminario Matematico of the University of Padua},
title = {Ilmanen’s lemma on insertion of C$^\{1,1\}$ functions},
url = {http://eudml.org/doc/241686},
volume = {124},
year = {2010},
}

TY - JOUR
AU - Fathi, A.
AU - Zavidovique, M.
TI - Ilmanen’s lemma on insertion of C$^{1,1}$ functions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 124
SP - 203
EP - 219
LA - eng
KW - smoothness of lower convex envelops of coercive functions
UR - http://eudml.org/doc/241686
ER -

References

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  1. [1] P. Bernard, Lasry-Lions regularization and a Lemma of Ilmanen. Preprint (2009). Zbl1214.46053
  2. [2] P. Cannarsa - C. Sinestrari, Semiconcave functions, Hamilton-Jacobi equations, and optimal control. Progress in Nonlinear Differential Equations and their Applications, 58. Birkhäuser Boston, Inc., Boston, MA, 2004. Zbl1095.49003MR2041617
  3. [3] P. Cardaliaguet, Front propagation problems with nonlocal terms. II. J. Math. Anal. Appl., 260, no. 2 (2001), pp. 572--601. Zbl1002.35064MR1845570
  4. [4] A. Fathi, Partitions of unity for countable cover. Amer. Math. Month., 104 (1997), pp. 720--723. Zbl0904.54014MR1476756
  5. [5] A. Fathi - A. Figalli, Optimal transportation on non-compact manifolds. Israel J. Math., 175 (2010), pp. 1--58. Zbl1198.49044MR2607536
  6. [6] A. Griewank - P. J. Rabier, On the smoothness of convex envelopes. Trans. Amer. Math. Soc., 322, no. 2 (1990), pp. 691--709. Zbl0712.49010MR986024
  7. [7] M. Hirsch, Differential topology. Graduate Texts in Mathematics, 33 (Springer, 1976). Zbl0356.57001MR1336822
  8. [8] T. Ilmanen, The level-set flow on a manifold. Proc. Sympos. Pure Math., 54 (1993), pp. 93--204, Amer. Math. Soc. Zbl0827.53014MR1216585
  9. [9] B. Kirchheim - J. Kristensen, Differentiability of convex envelopes. C. R. Acad. Sci. Paris Sér. I Math., 333, no. 8 (2001), pp. 725--728. Zbl1053.49013MR1868942
  10. [10] R. T. Rockafellar, Convex analysis. Princeton UP, Princeton, NJ, 1970. Zbl0932.90001MR274683

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