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Abstract
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Abstract and Applied Analysis
Volume 2003 (2003), Issue 17, Pages 953-973
doi:10.1155/S1085337503308012

Time-dependent Stokes equations with measure data

Bui An Ton

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

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.