Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order

Michael G. Crandall

Annales de l'I.H.P. Analyse non linéaire (1989)

  • Volume: 6, Issue: 6, page 419-435
  • ISSN: 0294-1449

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Crandall, Michael G.. "Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order." Annales de l'I.H.P. Analyse non linéaire 6.6 (1989): 419-435. <http://eudml.org/doc/78186>.

@article{Crandall1989,
author = {Crandall, Michael G.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {superdifferentials; sub-differentials; viscosity solutions; fully nonlinear},
language = {eng},
number = {6},
pages = {419-435},
publisher = {Gauthier-Villars},
title = {Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order},
url = {http://eudml.org/doc/78186},
volume = {6},
year = {1989},
}

TY - JOUR
AU - Crandall, Michael G.
TI - Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1989
PB - Gauthier-Villars
VL - 6
IS - 6
SP - 419
EP - 435
LA - eng
KW - superdifferentials; sub-differentials; viscosity solutions; fully nonlinear
UR - http://eudml.org/doc/78186
ER -

References

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  1. Convex Function and Some Properties of Convex Functions, Lenigrad University Annals (Mathematical Series), Vol. 37, 1939, pp. 3-35 (In Russian). 
  2. [2] H. Ishii, On Existence and Uniqueness of Viscosity Solutions of Fully Nonlinear Second-Order Elliptic PDE's, to appear in Comm. Pure Appl. Math.Annales de l'Institut Henri Poincaré - Analyse non linéaire Zbl0645.35025MR973743
  3. [3] H. Ishii, and P.-L. Lions, Viscosity Solutions of Fully Nonlinear Second-Order Elliptic Partial Differential Equations, to appear in J. Diff. Equa. Zbl0708.35031
  4. [4] R. Jensen, The Maximum Principle for Viscosity Solutions of Fully Nonlinear Second Order Partial Differential Equations, Arch. Rat. Mech. Anal., 101, 1988, pp. 1-27. Zbl0708.35019MR920674
  5. [5] R. Jensen, Uniqueness Criteria for Viscosity Solutions of Fully Nonlinear EllipticPartial Differential Equations, preprint. Zbl0838.35037MR1017328
  6. [6] R. Jensen, P.-L. Lions and P.E. Souganidis, A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations, Proc. A.M.S., 102, 1988, pp. 975-978. Zbl0662.35048MR934877
  7. [7] P.-L. Lions, and P.E. Souganidis, Viscosity Solutions of Second-Order Equations, Stochastic Control and Stochastic Differential Games, Proceedings of Workshop on Stochastic Control and PDE's, I.M.A., University of Minnesota, June 1986. Zbl0825.49042
  8. [8] N.S. Trudinger, Comparison Principles and Pointwise Estimates for Viscosity Solutions of Nonlinear Elliptic Equations, preprint. Zbl0695.35007MR1048584

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