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arxiv: 1704.07118 · v1 · pith:B6YIFE2Nnew · submitted 2017-04-24 · 🧮 math.AP

Regularity properties of semilinear boundary problems in Besov and Triebel--Lizorkin spaces

classification 🧮 math.AP
keywords boundarybesovproblemsregularityspacestriebel--lizorkinclassconditions
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Semi-linear elliptic boundary problems with non-linearities of product type are considered, in particular the stationary Navier--Stokes equations. Regularity and existence results are dealt with in the Besov and Triebel--Lizorkin spaces, and it is explained how difficulties occurring for boundary conditions of a high class may be handled.

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