@article{BSMF_2000__128_3_473_0, author = {Fathi, Albert and Mather, John}, title = {Failure of convergence of the Lax-Oleinik semi-group in the time periodic case}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, volume = {128}, year = {2000}, pages = {473-483}, doi = {10.24033/bsmf.2378}, mrnumber = {2001i:35023}, zbl = {0989.37035}, language = {en}, url = {http://dml.mathdoc.fr/item/BSMF_2000__128_3_473_0} }
Fathi, Albert; Mather, John. Failure of convergence of the Lax-Oleinik semi-group in the time periodic case. Bulletin de la Société Mathématique de France, Tome 128 (2000) pp. 473-483. doi : 10.24033/bsmf.2378. http://gdmltest.u-ga.fr/item/BSMF_2000__128_3_473_0/
[1] Mather Sets for Twist Maps and Geodesics on Tori, Dyn. Rep., t. 1, 1988, p. 1-56. | MR 90a:58145 | Zbl 0664.53021
. -[2] Geodesic Rays, Busemann Functions, and Monotone Twist Maps, Calc. Var., t. 2, 1994, p. 49-63. | MR 97b:53041 | Zbl 0794.58010
. -[3] On the Large Time Behavior of Solutions of Hamilton-Jacobi Equations. - Preprint, 1998.
, . -[4] Sur la convergence du semi-groupe de Lax-Oleinik, C. R. Acad. Sci. Paris, Série I, t. 327, 1998, p. 267-270. | MR 2000a:37058 | Zbl 01235022
. -[5] Mather Sets for Plane Hamiltonian Systems, J. Applied Math. Phys. (ZAMP), t. 38, 1987, p. 791-812. | MR 89h:58055 | Zbl 0641.70014
. -[6] On the Minimizing Measures of Lagrangian Dynamical Systems, Nonlinearity, t. 5, 1992, p. 623-638. | MR 93h:58059 | Zbl 0799.58030
. -[7] Differentiability of the Minimal Average Action as a Function of the Rotation Number, Bol. Soc. Bras. Mat., t. 21, 1990, p. 59-70. | MR 92j:58061 | Zbl 0766.58033
. -[8] Action Minimizing Measures for Positive Definite Lagrangian Systems, Math. Z., t. 207, 1991, p. 169-207. | MR 92m:58048 | Zbl 0696.58027
. -[9] Variational Construction of Connecting Orbits, Ann. Inst. Fourier, Grenoble, t. 43, 1993, p. 1349-1386. | Numdam | MR 95c:58075 | Zbl 0803.58019
. -[10] Comportement asymptotique des solutions d'une classe d'équations paraboliques et de Hamilton-Jacobi, C. R. Acad. Sci. Paris, Série I, t. 324, 1997, p. 1367-1370. | MR 98c:35078 | Zbl 0878.35056
, . -[11] Remarks on the Long Time Behavior of the Solutions of Hamilton-Jacobi Equations, Comm. Partial Diff. Eq., t. 5, 1999, p. 883-894. | MR 2000j:35034 | Zbl 0924.35028
, . -[12] Comportement asymptotique des solutions d'équations de Hamilton-Jacobi monodimensionnelles, C. R. Acad. Sci. Paris, Série I, t. 326, 1998, p. 185-189. | MR 1646936 | Zbl 0924.70017
. -[13] Convergence to Steady States or Periodic Solutions in a Class of Hamilton-Jacobi Equations. - Preprint, 1998.
. -