Stokes Equations and Elliptic Systems With Non Standard Boundary Conditions

Abstract

In a three dimensional bounded possibly multiply-connected domain of class C 1,1 , we consider the stationary Stokes equations with nonstandard boundary conditions of the form u · n = g and curlu × n = h × n or u × n = g × n and π = π0 on the boundary Γ. We prove the existence and uniqueness of weak, strong and very weak solutions corresponding to each… (More)

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