Methods and Applications of Analysis
Volume 16 (2009)
Higher Order Derivative Estimates for Finite-difference Schemes for Linear Elliptic and Parabolic Equations
Pages: 187 – 216
We give sufficient conditions under which solutions of finite-difference schemes in the space variable for second order possibly degenerate linear parabolic and elliptic equations admit estimates of spatial derivatives up to any given order independent of the mesh size.
Finite-difference approximations; linear elliptic; parabolic equations
2010 Mathematics Subject Classification
35J70, 35K65, 65M15