On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems

We give some results concerning the real-interpolation method and finite differences. Next, we apply them to estimate the resolvents of finite-difference discretizations of Dirichlet boundary value problems for elliptic equations in space dimensions one and two in analogs of spaces of continuous and...

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Bibliographic Details
Main Authors: Davide Guidetti, Sergei Piskarev
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337503306359