Lasry-Lions regularization and a lemma of Ilmanen

Patrick Bernard

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 124, page 221-229
  • ISSN: 0041-8994

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Bernard, Patrick. "Lasry-Lions regularization and a lemma of Ilmanen." Rendiconti del Seminario Matematico della Università di Padova 124 (2010): 221-229. <http://eudml.org/doc/240340>.

@article{Bernard2010,
author = {Bernard, Patrick},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {semigroup of nonlinear operators; Lasry-Lions regularization; approximation; Lipschitz function},
language = {eng},
pages = {221-229},
publisher = {Seminario Matematico of the University of Padua},
title = {Lasry-Lions regularization and a lemma of Ilmanen},
url = {http://eudml.org/doc/240340},
volume = {124},
year = {2010},
}

TY - JOUR
AU - Bernard, Patrick
TI - Lasry-Lions regularization and a lemma of Ilmanen
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 124
SP - 221
EP - 229
LA - eng
KW - semigroup of nonlinear operators; Lasry-Lions regularization; approximation; Lipschitz function
UR - http://eudml.org/doc/240340
ER -

References

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  1. [1] P. Bernard, Existence of C 1 , 1 critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds, Ann. Sci. E. N. S. (4), 40, no. 3 (2007), pp. 445--452. Zbl1133.35027MR2493387
  2. [2] P. Cardaliaguet, Front Propagation Problems with Nonlocal Terms 2, J. Math. An. Appl., 260 (2001), pp. 572--601. Zbl1002.35064MR1845570
  3. [3] A. Fathi - M. Zavidovique, Insertion of C 1 , 1 functions and Ilmanen’s Lemma. 
  4. [4] A. Fathi - A. Siconolfi, Existence of C 1 critical subsolutions of the Hamilton-Jacobi equation. Invent. Math., 155, no. 2 (2004), pp. 363--388. Zbl1061.58008MR2031431
  5. [5] T. Ilmanen, The Level-Set Flow on a Manifold, Proc. Symposia Pure Math., 54, no. 1 (1993), pp. 193--204. Zbl0827.53014MR1216585
  6. [6] J. M. Lasry - P. L. Lions, A Remark on Regularization in Hilbert Spaces, Israel Math. J., 55, no. 3 (1996), pp. 257--266. Zbl0631.49018MR876394
  7. [7] M. Zavidovique, Existence of C 1 , 1 critical subsolutions in discrete weak KAM theory. To appear in Journal of Modern Dynamics. Zbl1211.37077

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