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Untitled - Cdm.unimo.it

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92 Polynomial Approximation of Differential Equations<br />

* * * * * * * * * * * * * *<br />

From the point of view of functional analysis, the brief presentation set forth in these<br />

pages is far from exhaustive. In our opinion, however, <strong>it</strong> contains sufficient material for<br />

an in depth understanding of the applications that follow. We refer the readers that are<br />

more concerned w<strong>it</strong>h theoretical issues, to the numerous publications in this field. Very<br />

attractive to applied mathematicians are, for instance, the text of brezis(1983) and<br />

the introductory essay of brezzi and gilardi(1987), where the functional spaces are<br />

rigorously treated, but w<strong>it</strong>hout the tiresome formalism of the more specialized books.

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