Invariance of global solutions of the Hamilton-Jacobi equation

Bulletin de la Societe Mathematique de France

Volumn 130, Issue 4, 2002, Pages 493-506

  Maderna, Ezequiel ^a   Laguardia, Rafael ^b  

^a UNITÉ DE MATHÉMATIQUES PURES ET APPLIQUÉES   (France)

^b UNIVERSIDAD DE LA REPÚBLICA   (Uruguay)

Author keywords

Hamilton Jacobi; Lagrangian; Symmetries

Indexed keywords

EID: 0042371974     PISSN: 00379484     EISSN: None     Source Type: Journal    
DOI: 10.24033/bsmf.2427     Document Type: Article

References (11)

1. CONTRERAS (G.), DELGADO (J.) & ITURRIAGA (R.) - Lagrangian flows: the dynamics of globally minimizing orbits, II, Bol. Soc. Bras. Mat., t. 28 (1997), no. 2, pp. 155-196.
2. FATHI (A.) - Solutions KAM faibles conjugués et barrières de Peierls, C. R. Acad. Sci. Paris, Série I, t. 325 (1997), pp. 649-652.
3. _, Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens, C. R. Acad. Sci. Paris, Série I, t. 324 (1997), pp. 1043-1046.
4. _, Weak KAM Theorem in Lagrangian Dynamics, Preprint, 2000.
5. FATHI (A.) & MADERNA (E.) - Weak KAM Theorem on Non Compact Manifolds, Preprint, 2000.
6. KOBAYASHI (S.) - Transformation Groups in Differential Geometry, Springer-Verlag, 1995, reprint of the 1972 ed.
7. MAÑÉ (R.) - Lagrangian flows: the dynamics of globally minimizing orbits, Bol. Soc. Bras. Mat., t. 28 (1997), no. 2, pp. 141-153.
8. MATHER (J.N.) - Action minimizing measures for positive definite Lagrangian systems, Math. Z., t. 207 (1991), pp. 169-207.
9. MONTGOMERY (D.) & ZIPPIN (L.) - Transformation Groups, Interscience Tracts, vol. 1, J. Wiley & Sons, 1955.
10. PATERNAIN (G.) & PATERNAIN (M.) - Critical values of autonomous Lagrangian systems, Comment. Math. Helvetici, t. 72 (1997), pp. 481-499.
11. ZIEMER (W.) - Weakly Differentiate Functions, Springer-Verlag, 1989.