Maximum principles for difference operators

Partial Differential Equations and Applications: Collected Papers in Honor of Carlo Pucci

Volumn , Issue , 2017, Pages 209-219

  Kuo, Hung Ju ^a   Trudinger, Neil S ^b  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85053509165     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9780203744369     Document Type: Chapter

References (13)

1. A.D. Aleksandrov: Certain estimates for the Dirichlet problem, Dokl. Akad. Nauk. SSSR 134(1960), 1001-1004, [Russian], English translation in Soviet Math. Dokl. 1(1960), 1151-1154.
2. A.D. Aleksandrov: Uniqueness conditions and estimates for the solution o f the Dirichlet problem, Vestnik Leningrad Univ. 18, 5-29, [Russian], English translation in Amer. Math. Soc. Transl. (2) 68(1968), 89-119.
3. A.D. Aleksandrov: Majorization of solutions of second-order linear equations. Vestnik Leningrad Univ. 21(1966), 5-25 [Russian]. English translation in Amer. Math. Soc. Transl. (2) 68(1968), 120-143.
4. I. Ya. Bakel’man: Theory of quasilinear elliptic equations. Sibirsk. Mat. Zh. 2(1961), 179-186. [Russian].
5. I. J. Bakelman: Convex analysis and nonlinear geometric elliptic equations, Springer-Verlag, 1994.
6. D. Gilbarg & N.S. Trudinger: Elliptic partial differential equations of second order, 2nd edition, Springer-Verlag,1983.
7. N.Y. Krylov & M.V. Safonov: Certain properties of solutions of parabolic equations with measurable coefficients, Izv. Akad. Nauk SSSR 44(1980) 161-175, [Russian], English translation in Math. USSRIzv. 16(1981),151-164.
8. H. J. Kuo and N. S. Trudinger: Linear elliptic difference inequalities with random coefficients, Math. Comp., 55(1990), 37-53.
9. H. J. Kuo and N. S. Trudinger: Discrete methods for fully nonlinear elliptic equations, SIAM J. Numer. Anal., 29(1992), 123-135.
10. H. J. Kuo and N. S. Trudinger: On the discrete maximum principle for parabolic difference operators, RAIRO Modél. Math. Anal. Numér., 27(1993), 719-737.
11. H. J. Kuo and N. S. Trudinger: Local estimates for parabolic difference operators, J. Differential Equations, to appear.
12. H. J. Kuo and N. S. Trudinger: Positive difference operators on general meshes, to appear; (see also Australian National Univ., Centre for Math. Appl. Research Report MRR031-95)
13. C. Pucci: Limitazioni per soluzioni di equazioni ellittiche, Ann. Mat. Pura Appl (4) 74(1966), 15-30.