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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.

##### MSC:
 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
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##### References:
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