The Poisson and Stokes problems in nonconvex, Lipschitz polytopes
classification
🧮 math.AP
keywords
lipschitznonconvexpoissonpolytopesproblemsstokesboundaryclass
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We show the well-posedness of the Poisson and Stokes problems in weighted spaces over nonconvex, Lipschitz polytopes. For a particular range of $p$, we consider those weights in the Muckenhoupt class $A_p$ that have no singularities in a neighborhood of the boundary of the domain.
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