Regularity of solutions for the generalized inhomogeneous Neumann boundary value problem

Journal of Differential Equations

Volumn 126, Issue 2, 1996, Pages 292-302

  Cranny, T R ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030577966     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0052     Document Type: Article

References (10)

1. 1. G. BARLES, Uniqueness and regularity for first-order Hamilton Jacobi equations, Indiana Univ. Math. J. 39 (1990), 443-466.
2. 2. G. BARLES, Fully nonlinear Neumann type boundary conditions for second-order elliptic and parabolic equations, J. Differential Equations 106 (1993), 90-106.
3. 3. G. BARLES AND P.-L. LIONS, Fully nonlinear Neumann type boundary equations for first-order Hamilton-Jacobi equations, Nonlinear Anal. Theory, Math. Appl. 16, No. 2 (1991), 143-153.
4. 4. M. G. CRANDALL, H. ISHII, AND P.-L. LIONS, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. 27 (1992), 1-67.
5. 5. M. G. CRANDALL AND P.-L. LIONS, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983), 1-42.
6. 6. T. R. CRANNY, Regularity of viscosity solutions of fully nonlinear degenerate elliptic equations, CMA Research Report CMA-MR18-93 (1993).
7. 7. H. ISHII, Fully nonlinear oblique derivative problems for nonlinear second-order elliptic PDE's, Duke Math. J. 63 (1991), 633-661.
8. 8. H. ISHII AND P.-L. LIONS, Viscosity solutions of fully nonlinear second-order elliptic partial differential equations, J. Differential Equations 83 (1990), 26-78.
9. 9. P.-L. LIONS, Optimal control of diffusion processes and Hamilton Jacobi Bellman equations. Part 2: Viscosity solutions and uniqueness, Comm. PDE 8 (1983), 1229-1276.
10. 10. P.-L. LIONS, Neumann type boundary conditions for Hamilton-Jacobi equations, Duke J. Math. 52 (1985), 793-820.