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Estimating ∇u in terms of div u, curl u, either (ν, u) or ν×u and the topology (1997)

Bolik, Jürgen ; von Wahl, Wolf

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 20 (1997), S. 737-744

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Details

ISSN: 0170-4214

Schlagwort(e): Engineering ; Numerical Methods and Modeling

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik

Notizen: In the present paper we prove Cα-estimates for ∇u using components of boundary values of u, div u, curl u and quantities given by components of boundary values of u as well as boundary values of elements belonging to de Rhams cohomology modules. The vector field u is defined on a bounded set G¯⊂∝3, meanwhile the cohomology group will be defined with regard to ∝3-G. Our inequalities turn out to be a priori estimates concerning well-known boundary value problems for vector fields. © 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.

Materialart: Digitale Medien

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