Nonlinear monotone semigroups and viscosity solutions

Samuel Biton

Annales de l'I.H.P. Analyse non linéaire (2001)

  • Volume: 18, Issue: 3, page 383-402
  • ISSN: 0294-1449

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Biton, Samuel. "Nonlinear monotone semigroups and viscosity solutions." Annales de l'I.H.P. Analyse non linéaire 18.3 (2001): 383-402. <http://eudml.org/doc/78525>.

@article{Biton2001,
author = {Biton, Samuel},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {fully nonlinear, possibly degenerate, second-order parabolic},
language = {eng},
number = {3},
pages = {383-402},
publisher = {Elsevier},
title = {Nonlinear monotone semigroups and viscosity solutions},
url = {http://eudml.org/doc/78525},
volume = {18},
year = {2001},
}

TY - JOUR
AU - Biton, Samuel
TI - Nonlinear monotone semigroups and viscosity solutions
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2001
PB - Elsevier
VL - 18
IS - 3
SP - 383
EP - 402
LA - eng
KW - fully nonlinear, possibly degenerate, second-order parabolic
UR - http://eudml.org/doc/78525
ER -

References

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  1. [1] Alvarez L, Guichard F, Lions P.L, Morel J.M, Axioms and Fundamental Equations of Image Processing, Arch. Rational Mech. Anal.123 (1993) 199-257. Zbl0788.68153MR1225209
  2. [2] Bardi M, Capuzzo-Dolcetta I, Optimal Control and Viscosity Solutions of Hamilton–Jacobi–Bellman Equations, Birkhäuser, Boston, 1997. Zbl0890.49011
  3. [3] Barles G, Solutions de Viscosité des Équations de Hamilton–Jacobi, Collection “Mathématiques et Applications” of SMAI, No 17, Springer-Verlag, Paris, 1994. Zbl0819.35002
  4. [4] Beck A, Uniqueness of Flow Solutions of Differential Equations, Lecture Notes in Mathematics, 318, Springer-Verlag, Berlin, 1973. Zbl0261.34001MR409997
  5. [5] Crandall M.G, Lions P.-L, Viscosity solutions of Hamilton–Jacobi equations, Trans. Amer. Math. Soc.277 (1983) 1-42. Zbl0599.35024
  6. [6] Crandall M.G, Ishii H, Lions P.-L, User's guide to viscosity solutions of second order Partial differential equations, Bull. Amer. Soc.27 (1992) 1-67. Zbl0755.35015MR1118699
  7. [7] Fleming W.H, Soner H.M, Controlled Markov Processes and Viscosity Solutions, Applications of Mathematics, Springer-Verlag, New York, 1993. Zbl0773.60070MR1199811
  8. [8] Giga Y, Goto S, Ishii H, Sato M.-H, Comparison principle and convexity preserving properties for singular parabolic equations on unbounded domains, Indiana University Math. J.40 (2) (1991). Zbl0836.35009MR1119185
  9. [9] Ishii I, Uniqueness of unbounded viscosity solution of Hamilton–Jacobi equations, Indiana Univ. Math. J.33 (1984) 721-748. Zbl0551.49016
  10. [10] Ley O, Lower bound gradient estimates for first-order Hamilton–Jacobi equations and applications to the regularity of propagating fronts, Preprint, 1999. Zbl1015.35031
  11. [11] Lions P.-L, Generalized Solutions of Hamilton–Jacobi Equations, Research Notes in Mathematics, 69, Pitman, London, 1988. Zbl0497.35001
  12. [12] Lions P.-L, Some Properties of the Viscosity Semigroups of Hamilton–Jacobi Equations, Nonlinear Differential Equations and Applications, Pitman, London, 1982. 

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