Approximation to Hadamard Derivative via the Finite Part Integral

In 1923, Hadamard encountered a class of integrals with strong singularities when using a particular Green’s function to solve the cylindrical wave equation. He ignored the infinite parts of such integrals after integrating by parts. Such an idea is very practical and useful in many physic...

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Bibliographic Details
Main Authors: Chuntao Yin, Changpin Li, Qinsheng Bi
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/20/12/983