About regularity issues regarding a magnetic force formula
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چکیده
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A Cesàro-Volterra formula with little regularity
If a symmetric matrix field e of order three satisfies the Saint-Venant compatibility conditions in a simply-connected domain Ω in R, there then exists a displacement field u of Ω with e as its associated linearized strain tensor, i.e., e = 1 2 (∇u + ∇u) in Ω. A classical result, due to Cesàro and Volterra, asserts that, if the field e is sufficiently smooth, the displacement u(x) at any point ...
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ژورنال
عنوان ژورنال: PAMM
سال: 2004
ISSN: 1617-7061
DOI: 10.1002/pamm.200410256