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.
Publié le : 2009-06-15
Classification:
Finite-difference approximations,
linear elliptic,
parabolic equations,
65M15,
35J70,
35K65
@article{1257170935,
author = {Gy\"ongy, Istv\'an and Krylov, Nicolai},
title = {Higher Order Derivative Estimates for Finite-difference Schemes for Linear
Elliptic and Parabolic Equations},
journal = {Methods Appl. Anal.},
volume = {16},
number = {1},
year = {2009},
pages = { 187-216},
language = {en},
url = {http://dml.mathdoc.fr/item/1257170935}
}
Gyöngy, István; Krylov, Nicolai. Higher Order Derivative Estimates for Finite-difference Schemes for Linear
Elliptic and Parabolic Equations. Methods Appl. Anal., Tome 16 (2009) no. 1, pp. 187-216. http://gdmltest.u-ga.fr/item/1257170935/