Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations;Quelques contre-exemples sur le comportement en temps grands des solutions des équations de Hamilton-Jacobi

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 330, Issue 11, 2000, Pages 963-968

  Barles, Guy ^a   Souganidis, Panagiotis E ^b,c  

^a UNIVERSITÉ DE TOURS   (France)

^b The University of Texas at Austin   (United States)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034196327     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)00314-1     Document Type: Article

References (10)

1. [1] Barles G., Asymptotic behavior of viscosity solutions of first-order Hamilton-Jacobi equations, Ric. di Mat. XXXIV (2) (1985).
2. [2] Barles G., Souganidis P.E., On the large time behavior of solutions of Hamilton-Jacobi equations, SIAM J. Math. Anal. (2000) (in press).
3. [3] Barles G., Souganidis P.E., (in preparation).
4. [4] Fathi A., Sur la convergence du semi-groupe de Lax-Oleinik, C. R. Acad. Sci. Paris, Série I 327 (3) (1998) 267-270.
5. [5] Fathi A., Mather J.N., Failure of convergence of the Lax-Oleinik semi-group in the time-periodic case, Preprint.
6. [6] Lions P.-L., Generalized Solutions of Hamilton-Jacobi Equations, Pitman, 1982.
7. [7] Namah G., Roquejoffre J.-M., Remarks on the long time behavior of the solutions of Hamilton-Jacobi equations, Commun. Partial Differ. Eq. 24 (5-6) (1999).
8. [8] Namah G., Roquejoffre J.-M., Convergence to periodic fronts in a class of semilinear parabolic equations, NoDEA Nonlin. Differ. Eq. Appl. 4 (4) (1997) 521-536.
9. [9] Roquejoffre J.-M., Comportement asymptotique des solutions d'équations de Hamilton-Jacobi monodimensionnelles, C. R. Acad. Sci. Paris, Série I 326 185-189.
10. [10] Roquejoffre J.-M., Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations, Preprint.