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Unique continuation of boundary over-determined Stokes and Oseen eigenproblems

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  • 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.
    Mathematics Subject Classification: Primary: 35J70, 47F, 76A, 93C.


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