Positive difference operators on general meshes

DOI10.1215/S0012-7094-96-08314-3zbMath0859.39009MaRDI QIDQ1918382

Neil S. Trudinger, Hung-Ju Kuo

Publication date: 7 April 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

maximum principlespositive difference operators

Mathematics Subject Classification ID

Difference operators (39A70) Finite difference methods for boundary value problems involving PDEs (65N06) Linear difference operators (47B39)

Related Items (18)

The Apollonian structure of integer superharmonic matrices ⋮ On the Rate of Convergence of Finite-Difference Approximations for Elliptic Isaacs Equations in Smooth Domains ⋮ Gidas-Ni-Nirenberg results for finite difference equations: estimates of approximate symmetry ⋮ Approximation schemes for viscosity solutions of fully nonlinear stochastic partial differential equations ⋮ Numerical analysis of strongly nonlinear PDEs ⋮ Trivariate spline collocation methods for numerical solution to 3D Monge-Ampère equation ⋮ Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation ⋮ Convergence Rate Estimates for Aleksandrov's Solution to the Monge--Ampère Equation ⋮ Unnamed Item ⋮ A discrete isoperimetric inequality on lattices ⋮ Quenched invariance principle for random walks in balanced random environment ⋮ Evolving monotone difference operators on general space-time meshes ⋮ An accelerated method for nonlinear elliptic PDE ⋮ Discrete harmonic functions in Lipschitz domains ⋮ On the regularity of harmonic functions and spherical harmonic maps defined on lattices ⋮ Harnack inequalities for supersolutions of fully nonlinear elliptic difference and differential equations ⋮ On the rate of convergence of difference approximations for uniformly nondegenerate elliptic Bellman's equations ⋮ Quantitative homogenization in a balanced random environment

Cites Work

• Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations
• Local estimates for parabolic difference operators
• Approximation of viscosity solutions of elliptic partial differential equations on minimal grids
• Linear Elliptic Difference Inequalities with Random Coefficients
• SECOND-ORDER ELLIPTIC EQUATIONS ON GRAPHS
• Discrete Methods for Fully Nonlinear Elliptic Equations
• On the discrete maximum principle for parabolic difference operators
• On the Approximation of Linear Elliptic Differential Equations by Difference Equations with Positive Coefficients
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