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Abstract and Applied Analysis
Volume 2003, Issue 17, Pages 953-973
http://dx.doi.org/10.1155/S1085337503308012

Time-dependent Stokes equations with measure data

Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z2

Received 22 August 2003

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We establish the existence of a unique solution of an initial boundary value problem for the nonstationary Stokes equations in a bounded fixed cylindrical domain with measure data. Feedback laws yield the source and its intensity from the partial measurements of the solution in a subdomain.