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Analytic regularity of Stokes flow on polygonal domains in countably weighted Sobolev spaces. (English) Zbl 1121.35098
The authors investigate the analytic regularity analytic data. They introduce weighted Sobolev spaces related to Kondrat’ev’s weighted spaces. The authors establish a shift theorem near the corners.

35Q30 Navier-Stokes equations
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
35A20 Analyticity in context of PDEs
35B65 Smoothness and regularity of solutions to PDEs
35D10 Regularity of generalized solutions of PDE (MSC2000)
76D07 Stokes and related (Oseen, etc.) flows
Full Text: DOI
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