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Construction of Bases in Spaces of Solenoidal Vector Fields

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Abstract

We describe a method of construction of fundamental systems in the subspace H(Ω) of solenoidal vector fields of the space \(\mathop W\limits^ \circ\)(Ω) from an arbitrary fundamental system in. \(\mathop W\limits^ \circ\) 12 (Ω). Bibliography: 9 titles.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 306, 2003, pp. 92–106.

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Ladyzhenskaya, O.A. Construction of Bases in Spaces of Solenoidal Vector Fields. J Math Sci 130, 4827–4835 (2005). https://doi.org/10.1007/s10958-005-0379-5

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  • DOI: https://doi.org/10.1007/s10958-005-0379-5

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