The establishment of boundary integral equations by generalized functions
type: Item
instance of: scholarly article
title: The establishment of boundary integral equations by generalized functions
zbMATH Open document ID: 0612.73084
DOI: 10.1007/BF01899552
author: X.-L. Peng
author: Guang-qian He
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1986-01-01T00:00:00Z
review text: The author proposes a method of converting the partial differential equations of the problem defined by linear partial differential operators into boundary integral equations supposing that the relevant fundamental solutions exist. The method is based on the use of a specific generalized function \(\delta \theta_ p\) derived by the theory of generalized functions and, by which the boundary integral equations and their arbitrary derivatives of any sufficiently smooth function can be generated.
reviewed by: V.Brčić
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 3991031
zbMATH Keywords: linear partial differential operators
zbMATH Keywords: boundary integral equations
zbMATH Keywords: theory of generalized functions
MaRDI profile type: Publication
cites work: Q4151786
cites work: Q5823489
cites work: Q5846196
cites work: Q5820804
cites work: Q3241404
cites work: Differential forms. With applications to the physical sciences
description: scientific article; zbMATH DE number 3991031