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1 December 2003 On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems
Davide Guidetti, Sergei Piskarev
Abstr. Appl. Anal. 2003(18): 1005-1035 (1 December 2003). DOI: 10.1155/S1085337503306359

Abstract

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 Hölder continuous functions. Such results were employed to study finite-difference discretizations of parabolic equations.

Citation

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Davide Guidetti. Sergei Piskarev. "On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems." Abstr. Appl. Anal. 2003 (18) 1005 - 1035, 1 December 2003. https://doi.org/10.1155/S1085337503306359

Information

Published: 1 December 2003
First available in Project Euclid: 8 December 2003

zbMATH: 1067.65109
MathSciNet: MR2040988
Digital Object Identifier: 10.1155/S1085337503306359

Subjects:
Primary: 46B70 , 65N06

Rights: Copyright © 2003 Hindawi

Vol.2003 • No. 18 • 1 December 2003
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