Sufficient structure conditions for uniqueness of viscosity solutions of semilinear and quasilinear equations

Nonlinear Differential Equations and Applications

Volumn 12, Issue 4, 2006, Pages 503-523

  Barles, Guy ^a   Ramaswamy, Mythily ^b  

^a UNIVERSITÉ DE TOURS   (France)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Degenerate elliptic equations; Maximum principle; Second order elliptic equations; Viscosity solutions

Indexed keywords

EID: 30444451166     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00030-005-0024-5     Document Type: Article

References (5)

1. G. BARLES, A weak Bernstein method for fully non-linear elliptic equations, Diff. Integ. Equations, Vol 4(2) (1991), 241-262.
2. M. 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.
3. W.H. FLEMING and H.M. SONER, Controlled markov processes and viscosity solutions, Applications of Mathematics, Springer-Verlag, New-York, 1993.
4. H. ISHII, Perron's method for Hamilton-Jacobi Equations, Duke Math. J. 55 (1987), 369-384.
5. H. ISHII, P.L. LIONS, Viscosity solutions of fully nonlinear second-order elliptic partial differential equations, J. Differ. Equations 83(1) (1990), 26-78.