Geometric restrictions for the existence of viscosity solutions

P. Cardaliaguet; B. Dacorogna; W. Gangbo; N. Georgy

Annales de l'I.H.P. Analyse non linéaire (1999)

  • Volume: 16, Issue: 2, page 189-220
  • ISSN: 0294-1449

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Cardaliaguet, P., et al. "Geometric restrictions for the existence of viscosity solutions." Annales de l'I.H.P. Analyse non linéaire 16.2 (1999): 189-220. <http://eudml.org/doc/78463>.

@article{Cardaliaguet1999,
author = {Cardaliaguet, P., Dacorogna, B., Gangbo, W., Georgy, N.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Hamilton-Jacobi equation},
language = {eng},
number = {2},
pages = {189-220},
publisher = {Gauthier-Villars},
title = {Geometric restrictions for the existence of viscosity solutions},
url = {http://eudml.org/doc/78463},
volume = {16},
year = {1999},
}

TY - JOUR
AU - Cardaliaguet, P.
AU - Dacorogna, B.
AU - Gangbo, W.
AU - Georgy, N.
TI - Geometric restrictions for the existence of viscosity solutions
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1999
PB - Gauthier-Villars
VL - 16
IS - 2
SP - 189
EP - 220
LA - eng
KW - Hamilton-Jacobi equation
UR - http://eudml.org/doc/78463
ER -

References

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  4. [4] G. Barles, Solutions de viscosité des équations de Hamilton-Jacobi, Springer-Verlag, Berlin, 1994. Zbl0819.35002MR1613876
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  10. [10] B. Dacorogna and P. Marcellini, Sur le Problème de Cauchy-Dirichlet pour les systèmes d'équations non linéaires du premier ordre, C.R. Acad. Sci. Paris, t. 323, Série I, 1996, pp. 599-602. Zbl0860.35020MR1411049
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  13. [13] W.H. Fleming and H.M. Soner, Controlled Markov processes and viscosity solution, Springer-Verlag, New York, 1993. Zbl0773.60070MR1199811
  14. [14] H. Frankowska, Hamilton-Jacobi equations: viscosity solutions and generalized gradients, J. Math. Anal., Vol. 141, 1989, pp. 21-26. Zbl0727.35028MR1004581
  15. [15] H. Frankowska, Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations, SIAM J. Control and Opti., Vol. 31, 1993, pp. 257-272. Zbl0796.49024MR1200233
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