September  2009, 2(3): 645-677. doi: 10.3934/dcdss.2009.2.645

Unique continuation of boundary over-determined Stokes and Oseen eigenproblems

1. 

Department of Mathematics, University of Virginia, P.O. Box 400137, Charlottesville, VA 22904

Received  October 2008 Revised  December 2008 Published  June 2009

We provide several radically different proofs of the following unique continuation result: The Oseen eigenvalue problem with over-determined homogeneous Cauchy data for the velocity field on the boundary implies the zero solution, at least if the equilibrium solution is sufficiently 'small.' In particular, this unique continuation result from over-determined boundary data holds true for the Stokes problem.
Citation: Roberto Triggiani. Unique continuation of boundary over-determined Stokes and Oseen eigenproblems. Discrete and Continuous Dynamical Systems - S, 2009, 2 (3) : 645-677. doi: 10.3934/dcdss.2009.2.645
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