Examples of Fundamental Solutions

Esposito, Giampiero

doi:10.1007/978-3-319-57544-5_18

Giampiero Esposito²

Part of the book series: UNITEXT ((UNITEXTMAT,volume 106))

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Abstract

When the number \(n \ge 4\) of independent variables is even, the exponent m defined in Eq. (17.3.2) is a positive integer and the construction of U in Sect. 17.4 no longer holds, because the whole algorithm (see Eq. (17.4.4)) involves division by \((l-m)\), which vanishes when \(l=m\).

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INFN Sezione di Napoli, Complesso di Monte Sant’Angelo, Università degli Studi di Napoli Federico II, Naples, Napoli, Italy
Giampiero Esposito

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Giampiero Esposito
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Esposito, G. (2017). Examples of Fundamental Solutions. In: From Ordinary to Partial Differential Equations. UNITEXT(), vol 106. Springer, Cham. https://doi.org/10.1007/978-3-319-57544-5_18

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DOI: https://doi.org/10.1007/978-3-319-57544-5_18
Published: 24 June 2017
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-57543-8
Online ISBN: 978-3-319-57544-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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