Abstract and Applied Analysis
Volume 2003 (2003), Issue 17, Pages 953-973

Time-dependent Stokes equations with measure data

Bui An Ton

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

Received 22 August 2003

Copyright © 2003 Bui An Ton. 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.


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.