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Unique continuation property for solutions of Stokes’ equations. (Prolongement unique des solutions de l’equation de Stokes.) (French) Zbl 0849.35098
Summary: We prove a unique continuation property for solutions of Stokes equations with a non regular potential. For this, we state a Carleman’s inequality which concerns the Laplace operator.

MSC:
35Q30 Navier-Stokes equations
35B60 Continuation and prolongation of solutions to PDEs
76D07 Stokes and related (Oseen, etc.) flows
35R05 PDEs with low regular coefficients and/or low regular data
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