Analytic regularity of Stokes flow on polygonal domains in countably weighted Sobolev spaces

By B. Guo, Christoph Schwab. 2006

57 citations recorded by the source corpus.

We investigate the analytic regularity of the Stokes problem in a polygonal domain Ω ⊂ R2 with straight sides and piecewise analytic data. We establish a shift theorem in weighted Sobolev spaces of arbitrary order with explicit control of the order-dependence of the constants. The shift-theorem in the framework of countably weighted Sobolev spaces implies in particular interior analyticity and Gevrey-type analytic regularity near the corners.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/104b590db4536471734683a8bc0066c49c687091

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In Applied Mathematics

1. Jürgen Saal
2. Matthias Hieber
3. Roland Schnaubelt

In Computational Theory and Mathematics

1. Jürgen Saal
2. Matthias Hieber

Citations in the corpus

• The stokes equation in the Lp-setting: Well-posedness and regularity properties (2018, background): “More recently, an approach to analytic regularity was presented by Guo and Schwab in [102].”