On superconvergence results and negative norm estimates for parabolic integro-differential equations

Pani, Amiya K. ; Sinha, Rajen K. (1996) On superconvergence results and negative norm estimates for parabolic integro-differential equations Journal of Integral Equations and Applications, 8 (1). pp. 65-98. ISSN 0897-3962

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Related URL: http://dx.doi.org/10.1216/jiea/1181075917

Abstract

The purpose of this paper is to show howknown negative norm estimates and superconvergence resultsapplied to parabolic equations can be carried over to integro-differential equations of parabolic type. A quasi projectiontechnique introduced earlier by Douglas, Dupont and Wheeleris modified to establish negative norm estimates in severalspace variables. Further, in a single space variable, knot su-perconvergence is also established. Finally, interior supercon-vergence estimates are also derived.

Item Type:Article
Source:Copyright of this article belongs to Rocky Mountain Mathematics Consortium.
ID Code:81980
Deposited On:09 Feb 2012 04:34
Last Modified:18 May 2016 23:20

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