Équations de Hamilton-Jacobi-bellmann avec hamiltoniens quasilinéaires

Francis Gimbert

Annales de la Faculté des sciences de Toulouse : Mathématiques (1984)

  • Volume: 6, Issue: 3-4, page 171-184
  • ISSN: 0240-2963

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Gimbert, Francis. "Équations de Hamilton-Jacobi-bellmann avec hamiltoniens quasilinéaires." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.3-4 (1984): 171-184. <http://eudml.org/doc/73163>.

@article{Gimbert1984,
author = {Gimbert, Francis},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {fre},
number = {3-4},
pages = {171-184},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Équations de Hamilton-Jacobi-bellmann avec hamiltoniens quasilinéaires},
url = {http://eudml.org/doc/73163},
volume = {6},
year = {1984},
}

TY - JOUR
AU - Gimbert, Francis
TI - Équations de Hamilton-Jacobi-bellmann avec hamiltoniens quasilinéaires
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1984
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 3-4
SP - 171
EP - 184
LA - fre
UR - http://eudml.org/doc/73163
ER -

References

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  1. [1] L.C. Evans - P.L. Lions. «Résolution des équations de Hamilton-Jacobi-Bellmann». C. R.A.S.Paris290 (1980), 1049-1052. Zbl0461.49017MR582494
  2. [2] L.C. Evans - P.L. Lions. «Second derivative estimates for the Bellman equation». 
  3. [3] D. Gilbarg - N.S. Trudinger. «Elliptic partial differential equations of second order». Springer Verlag, New-York, 1977. Zbl0361.35003MR473443
  4. [4] O.A. Ladyzenskaya - N.N. Uraltseva. «Linear and quasilinear elliptic equations». 
  5. [5] S. Lenhart. «Partial differential equations from dynamic programming equations». Ph. D., University of Kentucky-Lexington, 1981. 
  6. [6] P.L. Lions. «Résolution de problèmes elliptiques quasilinéaires». Arch. Rat. Mech. Anal., 74 (1980), 335-354. Zbl0449.35036MR588033
  7. [7] P.L. Lions. «Résolution des problèmes de Bellmann-Dirichlet». 
  8. [8] P.L. Lions. «Optimal control of diffusion processes and Hamilton-Jacobi-Bellmann equations». Part III : Regularity of the optimal cost function. Zbl0716.49024
  9. [9] J. Serrin. «The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables». Phil. Trans. Roy. Soc. London, A264, 413-469, 1969. Zbl0181.38003MR282058
  10. [10] N.S. Trudinger. «Fully nonlinear, uniformly elliptic equations under natural structure conditions». Trans. Amer. Math. Soc. Zbl0518.35036MR701522

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