Unique continuation property for solutions of Stokes’ equations. (Prolongement unique des solutions de l’equation de Stokes.) (French) Zbl 0849.35098

Fabre, Caroline; Lebeau, Gilles

Commun. Partial Differ. Equations 21, No. 3-4, 573-596 (1996).

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

Keywords:

unique continuation property; Stokes equations; Carleman’s inequality

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