4.3 Article

On the identification H = H′ in the Lions theorem and a related inaccuracy

Journal

RICERCHE DI MATEMATICA
Volume 59, Issue 2, Pages 245-255

Publisher

SPRINGER-VERLAG ITALIA SRL
DOI: 10.1007/s11587-010-0084-7

Keywords

Navier-Stokes equations; Heat equation; Lions theorem; Error

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We show that the common identification of H with its dual space in the famous functional frame V subset of H = H' subset of V' is incompatible with the distributional frame for some standard pdes and we recall an error related to this unnecessary identification which is repeated from years.

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