Uniformly Elliptic PDEs with Bounded, Measurable Coefficients

Journal of Fourier Analysis and Applications

Volumn 2, Issue 3, 1996, Pages 236-259

  Jensen, Robert R ^a  

^a LOYOLA UNIVERSITY CHICAGO   (United States)

Author keywords

Elliptic pde; Measurable coefficients; Viscosity solution

Indexed keywords

EID: 84951612495     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Caffarelli, L. (1989). Interior a priori estimates for solutions of fully nonlinear equations. Ann. of Math. (2), 130, 180-213.
2. Crandall, M. G., Ishii, H., and Lions, P.-L. (1992). User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. 27, 1-67.
3. Evans, C. and Gariepy, R. (1992). Measure Theory and Fine Properties of Functions, first ed. CRC Press, Ann Arbor.
4. Gilbarg, D. and Trudinger, N. S. (1983). Elliptic Partial Differential Equations of Second Order, second ed. Springer- Verlag, New York.
5. Jensen, R. R. (1988). The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations. Arch. Rational Mech. Anal. 101, 1-27.
6. _. (1989). Uniqueness criteria for viscosity solutions of fully nonlinear elliptic partial differential equations. Indiana Univ. Math. J. 38, 629-667.
7. Jensen, R. R., Lions, P.-L., and Souganidis, P.E. (1988). A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations. Proc. Amer. Math. Soc. 102, 975-978.
8. Lasry, J. M. and Lions, J.-L. (1986). A remark on regularization in Hilbert spaces. Israel J. Math. 55, 257-266.
9. Pucci, C. (1966). Su una limitazone per soluzioni di equazioni ellitche. Boll. Un. Mat. Ital. 21, 228-233.